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1

Abbott, Catherine Ann. "Operators on Continuous Function Spaces and Weak Precompactness." Thesis, University of North Texas, 1988. https://digital.library.unt.edu/ark:/67531/metadc331171/.

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If T:C(H,X)-->Y is a bounded linear operator then there exists a unique weakly regular finitely additive set function m:-->L(X,Y**) so that T(f) = ∫Hfdm. In this paper, bounded linear operators on C(H,X) are studied in terms the measure given by this representation theorem. The first chapter provides a brief history of representation theorems of these classes of operators. In the second chapter the represenation theorem used in the remainder of the paper is presented. If T is a weakly compact operator on C(H,X) with representing measure m, then m(A) is a weakly compact operator for every Borel
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2

Agethen, Simone. "Spaces of continuous and holomorphic functions with growth conditions." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=973690089.

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3

Kokot, Kevin [Verfasser], Holger [Gutachter] Dette, and Herold [Gutachter] Dehling. "Functional data analysis in the Banach space of continuous functions / Kevin Kokot ; Gutachter: Holger Dette, Herold Dehling ; Fakultät für Mathematik." Bochum : Ruhr-Universität Bochum, 2020. http://d-nb.info/1219736619/34.

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4

Caldas, Miguel, Erdal Ekici та Saeid Jafari. "On λ-closure spaces". Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95936.

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In this paper, we show that a pointwise λ -symmetric λ -isotonic λ -closure function is uniquely determined by the pairs of sets it separates. We then show that when the λ -closure function of the domain is λ -isotonic and the λ -closure function of the codomain is λ -isotonic and pointwise- λ -symmetric, functions which separate only those pairs of sets which are already separated are λ -continuous.
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5

Drees, Kevin Michael. "Cp(X,Z)." Bowling Green, Ohio : Bowling Green State University, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=bgsu1243803693.

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6

Hoffmann, Mark. "Topics in complex analysis and function spaces /." free to MU campus, to others for purchase, 2003. http://wwwlib.umi.com/cr/mo/fullcit?p3091931.

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7

Stover, Derrick D. "Continuous Mappings and Some New Classes of Spaces." View abstract, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3371579.

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8

Tárrega, Ruiz Luis. "Interpolation and equicontinuity sets in topological groups and spaces of continuous functions." Doctoral thesis, Universitat Jaume I, 2017. http://hdl.handle.net/10803/460830.

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This thesis studies the relation between the existence of a particular sort of subsets of metric valued continuous functions on a topological space X and the properties of the topological space itself. The dissertation relies on how the existence of subsets of continuous functions that possess one of these two antagonist properties, almost equicontinuity and being a B-family, affects the topological space. The former property appears in the setting of dynamical systems, and the latter is a property stronger that the concept of non-equicontinuity and it is motivated by a result of Bourgain.
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9

Lewis, Matthew. "Creating continuous design spaces for interactive genetic algorithms with layered, correlated, pattern functions /." The Ohio State University, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486572165276624.

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10

Drees, Kevin Michael. "Cp(X,ℤ)". Bowling Green State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1243803693.

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11

Agbebaku, Dennis Ferdinand. "Solution of conservation laws via convergence space completion." Diss., University of Pretoria, 2011. http://hdl.handle.net/2263/27791.

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It is well known that a classical solution of the initial value problem for a scalar conservation law may fail to exist on the whole domain of definition of the problem. For this reason, suitable generalized solutions of such problems, known as weak solutions, have been considered and studied extensively. However, weak solutions are not unique. In order to obtain a unique solution that is physically relevant, the vanishing viscosity method, amongst others, has been employed to single out a unique solution known as the entropy solution. In this thesis we present an alternative approach to the s
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12

Caldas, Miguel, Saeid Jafari та R. M. Latif. "Β - open sets and a new class of functions". Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96443.

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The concept of (b, s)-continuous functions in topological spaces is introduced and studied. Some of their characteristic properties are considered. Also we investigate the relationships between these classes of functions and other classes of functions.
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13

Monteiro, Giselle Antunes. "Generalized linear differential equations in a Banach space: continuous dependence on parameters and applications." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30032012-105214/.

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The purpose of this work is to investigate continuous dependence on parameters for generalized linear differential equations in a Banach space- valued setting. More precisely, we establish a theorem inspired by the clas- sical continuous dependence result due to Z. Opial. In addition, our second outcome extends, to Banach spaces, the result proved by M. Ashordia in the framework of finite dimensional generalized linear differential equations. Roughly speaking, the continuous dependence derives from assumptions of uniform convergence of the functions in the right-hand side of the equations, tog
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14

Kundu, Subiman. "Spaces of continuous linear functionals on function spaces." Diss., Virginia Polytechnic Institute and State University, 1989. http://hdl.handle.net/10919/54225.

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This thesis is a study of several spaces of continuous linear functionals on various function spaces with a natural norm inherited from a larger Banach space. The completeness of these normed linear spaces is studied in detail and several necessary and sufficient conditions are obtained in this regard. Since spaces of continuous linear functionals are inherently related to spaces of measures, their measure-theoretic counterparts are also studied. By using these counterparts, several necessary and sufficient conditions are obtained on the separability of these spaces of continuous linear functi
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15

Zeekoei, Elroy Denovanne. "A study of Dunford-Pettis-like properties with applications to polynomials and analytic functions on normed spaces / Elroy Denovanne Zeekoei." Thesis, North-West University, 2011. http://hdl.handle.net/10394/7586.

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Recall that a Banach space X has the Dunford-Pettis property if every weakly compact operator defined on X takes weakly compact sets into norm compact sets. Some valuable characterisations of Banach spaces with the Dunford-Pettis property are: X has the DPP if and only if for all Banach spaces Y, every weakly compact operator from X to Y sends weakly convergent sequences onto norm convergent sequences (i.e. it requires that weakly compact operators on X are completely continuous) and this is equivalent to “if (xn) and (x*n) are sequences in X and X* respectively and limn xn = 0 weakly and limn
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16

Thompson, Scotty L. "Comparing Topological Spaces Using New Approaches to Cleavability." View abstract, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3372574.

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17

Maguiña, Juan Luis Jaisuño Fuentes. "Algumas aplicações de jogos topológicos à análise." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-24102018-153719/.

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Neste trabalho apresentamos alguns jogos topológicos e suas aplicações à análise. Com esse fim, se fornece condições necessárias para que funções aproximadamente contínuas se tornem contínuas, se caracteriza os conjuntos estritamente pseudo-completos nos espaços de Banach e, assim também, se constrói um espaço de diferenciabilidade Gâteaux que não é Asplund fraco.<br>In this work we present some topological games and their applications to analysis. For this purpose, necessary conditions are given for nearly continuous functions to become continuous, we characterize the strictly pseudo-complete
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18

Luther, Uwe. "Approximation Spaces in the Numerical Analysis of Cauchy Singular Integral Equations." Doctoral thesis, Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500895.

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The paper is devoted to the foundation of approximation methods for integral equations of the form (aI+SbI+K)f=g, where S is the Cauchy singular integral operator on (-1,1) and K is a weakly singular integral operator. Here a,b,g are given functions on (-1,1) and the unknown function f on (-1,1) is looked for. It is assumed that a and b are real-valued and Hölder continuous functions on [-1,1] without common zeros and that g belongs to some weighted space of Hölder continuous functions. In particular, g may have a finite number of singularities. Based on known spectral properties of
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19

Barbeiro, André Santoleri Villa. "Extensões conexas e espaços de Banach C(K) com poucos operadores." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-19042018-123305/.

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Este trabalho tem dois objetivos principais. Primeiramente, analisamos a preservação de conexidade na extensão de espaços compactos por funções contínuas, técnica utilizada por Koszmider para obter $C(K)$ indecomponível com poucos operadores. Mostramos que para todo compacto metrizável $K$ existe um desconexo $L$ que é obtido a partir de $K$ por uma quantidade finita de extensões por funções contínuas. Em seguida, enfatizamos a construção de espaços de Banach da forma $C(K)$ com poucos operadores, com a propriedade de que $C(L)$ tem poucos operadores, para todo fechado $L \\subseteq K$. Assu
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20

Villamizar, Michael Alexander Rincon. "Geometria dos espaços de Banach Co (K,X)." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-29082016-181556/.

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Para um espaço localmente compacto K e um espaço de Banach X, seja C_0(K,X) o espaço das funções continuas que se anulam no infinito munido da norma do supremo. Nesta tese se provam resultados relacionados com a geometria destes espaços.<br>For a locally compact Hausdorff space K and a Banach spaces X, let C_0(K,X) be the Banach space of continuous functions which vanish at infinity endowed with the supremum norm. We prove some results about geometry of these spaces.
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21

Szyszkowski, Marcin. "Symmetrically continuous functions." Morgantown, W. Va. : [West Virginia University Libraries], 2000. http://etd.wvu.edu/templates/showETD.cfm?recnum=1499.

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Thesis (Ph. D.)--West Virginia University, 2000.<br>Title from document title page. Document formatted into pages; contains iii, 56 p. Includes abstract. Includes bibliographical references (p. 54-56).
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22

Borell, Stefan. "Continuous Nowhere Differentiable Functions." Thesis, Uppsala University, Department of Mathematics, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-122581.

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23

De, Kock Mienie. "Absolute continuity and on the range of a vector measure." [Kent, Ohio] : Kent State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=kent1216134542.

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Thesis (Ph.D.)--Kent State University, 2008.<br>Title from PDF t.p. (viewed Jan. 26, 2010). Advisor: Joseph Diestel. Keywords: absolute continiuty, range of a vector measure. Includes bibliographical references (p. 40-41).
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24

Kelaiaia, Smail. "Propriétés de certaines topologies SET-OPEN sur C (x)." Rouen, 1995. http://www.theses.fr/1995ROUES017.

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Cette thèse est consacrée à une étude de certaines topologies set-open sur C (x), l'ensemble des fonctions continues réelles définies sur x, engendrées par des familles particulières de compacts de x, qui complète et étend des travaux dus à McCoy R. A. Et Ntantu I. Elle comporte trois chapitres: le premier chapitre traite des propriétés de séparation dans ces topologies, de la comparaison entre ces topologies, puis une application dite fonction induite sur les espaces de fonction est introduite et les conditions de sa continuité et de son ouverture sur son image sont établies. Au deuxième chap
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25

Maués, Bartira. "Uma introdução à Cp (X)." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-30082015-180119/.

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Neste trabalho estudamos algumas propriedades do espaço das funções contínuas munido da topologia da convergência pontual. Começamos estudando o espaço Cp(X) de forma geral, verificando que propriedades topológicas principais valem em Cp(X), usando teoremas de dualidade entre X e Cp(X). Em seguida estudamos a relação da estrutura topológica de X e a estrutura algébrica e topológica de Cp(X), onde o Teorema de Nagata é fundamental. Observamos algumas propriedades de X que são preservadas por l-equivalência ou t-equivalência, ou seja, que são determinadas pela estrutura linear topológica, ou pel
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26

Caldas, Miguel. "On Rarely βθ-Continuous Functions". Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96217.

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Popa [13] introduced the notion of rare continuity. In the same spirit, we introduce a new class of functions called rarely βθ-continuous functions by utilizing the notion of β-θ-open sets. We also investigate some of its fundamental properties. This type of continuity is stronger that rare β-continuity [9].<br>En este paper nosotros introducimos una nueva clase de función denominada función raramente βθ-continua usando la noción de conjuntos β-θ-abiertos. Este tipo de continuidad es una noción más fuerte que lanoción de función rare β-continua dada por Jafari [9].
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27

Battles, Zachary. "Numerical linear algebra for continuous functions." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427900.

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28

Parry, Andrew Owen. "Correlation functions at continuous wetting transitions." Thesis, University of Bristol, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.330318.

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29

Silvester, Anna-Marie. "Space-time continuous phase modulation." Thesis, University of British Columbia, 2009. http://hdl.handle.net/2429/14721.

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The combination of Space-Time (ST) coding and Continuous-Phase Modulation (CPM) produces a low power, energy efficient communication scheme suitable for wireless transmission. Space-time coding increases the reliability of transmission, and continuous-phase modulation (CPM) has the potential to provide considerable energy savings. CPM is a modulation technique that involves the transmission of a signal with continuous-phase and a constant envelope, where the continuous-phase property produces a very bandwidth efficient signal, and the constant-envelope property enables non linear (and thus ene
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30

Wei, Hu. "SOLVING CONTINUOUS SPACE LOCATION PROBLEMS." The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1205514715.

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31

Woolley, Douglas Albert. "Generic Continuous Functions and other Strange Functions in Classical Real Analysis." Digital Archive @ GSU, 2008. http://digitalarchive.gsu.edu/math_theses/44.

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In this paper we examine continuous functions which on the surface seem to defy well-known mathematical principles. Before describing these functions, we introduce the Baire Category theorem and the Cantor set, which are critical in describing some of the functions and counterexamples. We then describe generic continuous functions, which are nowhere differentiable and monotone on no interval, and we include an example of such a function. We then construct a more conceptually challenging function, one which is everywhere differentiable but monotone on no interval. We also examine the Cantor fun
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32

Ward, Nicholas Frank Dudley. "Atomic decompositions of integrable or continuous functions." Thesis, University of York, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306356.

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33

Dahler, Cheryl L. (Cheryl Lewis). "Duals and Reflexivity of Certain Banach Spaces." Thesis, University of North Texas, 1991. https://digital.library.unt.edu/ark:/67531/metadc500848/.

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The purpose of this paper is to explore certain properties of Banach spaces. The first chapter begins with basic definitions, includes examples of Banach spaces, and concludes with some properties of continuous linear functionals. In the second chapter, dimension is discussed; then one version of the Hahn-Banach Theorem is presented. The third chapter focuses on dual spaces and includes an example using co, RI, and e'. The role of locally convex spaces is also explored in this chapter. In the fourth chapter, several more theorems concerning dual spaces and related topologies are presented. The
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34

Hu, Yingfeng. "John-Stromberg Inequality for Certain Anisotropic BMO Spaces." Wright State University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=wright1527117965732799.

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35

Chiang, Lo Fung. "Injective functions and measure of images /." View Abstract or Full-Text, 2002. http://library.ust.hk/cgi/db/thesis.pl?MATH%202002%20CHIANG.

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36

Lee, Jae S. (Jae Seung). "Continuous, Nowhere-Differentiable Functions with no Finite or Infinite One-Sided Derivative Anywhere." Thesis, University of North Texas, 1994. https://digital.library.unt.edu/ark:/67531/metadc278627/.

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In this paper, we study continuous functions with no finite or infinite one-sided derivative anywhere. In 1925, A. S. Beskovitch published an example of such a function. Since then we call them Beskovitch functions. This construction is presented in chapter 2, The example was simple enough to clear the doubts about the existence of Besicovitch functions. In 1932, S. Saks showed that the set of Besicovitch functions is only a meager set in C[0,1]. Thus the Baire category method for showing the existence of Besicovitch functions cannot be directly applied. A. P. Morse in 1938 constructed Besicov
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37

Landon, Benjamin A. "Degree of aproximation [sic] of Hölder continuous functions." Orlando, Fla. : University of Central Florida, 2008. http://purl.fcla.edu/fcla/etd/CFE0002414.

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38

at, Andreas Cap@esi ac. "A Function Space on a Metrizable Continuum, not Uniformly Homeomorphic to its Own Square." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1060.ps.

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39

Tzschichholtz, Ingo. "Contributions to Lattice-like Properties on Ordered Normed Spaces." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2006. http://nbn-resolving.de/urn:nbn:de:swb:14-1153429885228-05773.

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Banachverbände spielen sowohl in der Theorie als auch in der Anwendung von geordneten normierten Räume eine bedeutende Rolle. Einerseits erweisen sich viele in der Praxis relevanten Räume als Banachverbände, andererseits ermöglichen die Vektorverbandsstruktur und die enge Beziehung zwischen Ordnung und Norm ein tiefes Verständnis solcher normierter Räume. An dieser Stelle setzen folgende Überlegungen an: - Die genaue Untersuchung einiger Resultate der reichhaltigen Banachverbandstheorie ließ (zu Recht) vermuten, dass in manchen Fällen die Verbandsnormeigenschaft keine notwendige Voraussetzung
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40

Batista, Leandro Candido. "Teoria isomorfa dos espaços de Banach C0(K,X)." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-17072013-113811/.

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Para um espaço localmente compacto de Hausdorff K e um espaço de Banach X, denotamos por C0(K,X) o espaço de todas as funções a valores em X contínuas sobre K que se anulam no infinito, munido da norma do supremo. No espírito do clássico teorema de Banach-Stone 1937, estabelecemos que se C0(K1,X) é isomorfo a C0(K2,X), onde X é um espaço de Banach de cotipo finito e tal que X é separável ou X* tem a propriedade de Radon-Nikodým, então ou K1 e K2 são ambos finitos ou K1 e K2 tem a mesma cardinalidade. Trata-se de uma extensão vetorial de um resultado de Cengiz 1978, o caso escalar X = R ou X =
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41

Berrios, Yana Sonia Sarita. "Funções holomorfas fracamente continuas em espaços de Banach." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307331.

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Orientador: Jorge Tulio Mujica Ascui<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-08T04:55:28Z (GMT). No. of bitstreams: 1 BerriosYana_SoniaSarita_D.pdf: 951582 bytes, checksum: eb4f2207b2bb049f8b5c1e264d96ec85 (MD5) Previous issue date: 2007<br>Resumo: Sejam E e F espaços de Banach complexos, e seja U um aberto em E. Neste trabalho estudamos os subespaços Hwu(U; F), Hw(U; F), Hwsc(U; F) e HwC(U; F) de H(U; F). Mais especificamente, se U é aberto equilibrado caracterizamos funções
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Shehabi, Murtaza Kaium. "Cost tolerance optimization for piecewise continuous cost tolerance functions." Ohio : Ohio University, 2002. http://www.ohiolink.edu/etd/view.cgi?ohiou1174937670.

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43

Landon, Benjamin. "DEGREE OF APROXIMATION OF HÖLDER CONTINUOUS FUNCTIONS." Doctoral diss., University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2819.

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Pratima Sadangi in a Ph.D. thesis submitted to Utkal University proved results on degree of approximation of functions by operators associated with their Fourier series. In this dissertation, we consider degree of approximation of functions in H_(&#945;,p) by different operators. In Chapter 1 we mention basic definitions needed for our work. In Chapter 2 we discuss different methods of summation. In Chapter 3 we define the H_(&#945;,p) metric and present the degree of approximation problem relating to Fourier series and conjugate series of functions in the H_(&#945;,p) metric using Karamata (K
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44

Gurney, David R. (David Robert). "Bounded, Finitely Additive, but Not Absolutely Continuous Set Functions." Thesis, University of North Texas, 1989. https://digital.library.unt.edu/ark:/67531/metadc332375/.

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In leading up to the proof, methods for constructing fields and finitely additive set functions are introduced with an application involving the Tagaki function given as an example. Also, non-absolutely continuous set functions are constructed using Banach limits and maximal filters.
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45

Ercan, Zafer. "Riesz spaces of Riesz space valued functions." Thesis, Queen's University Belfast, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.359063.

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46

Tzschichholtz, Ingo. "Contributions to Lattice-like Properties on Ordered Normed Spaces." Doctoral thesis, Technische Universität Dresden, 2005. https://tud.qucosa.de/id/qucosa%3A24878.

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Banachverbände spielen sowohl in der Theorie als auch in der Anwendung von geordneten normierten Räume eine bedeutende Rolle. Einerseits erweisen sich viele in der Praxis relevanten Räume als Banachverbände, andererseits ermöglichen die Vektorverbandsstruktur und die enge Beziehung zwischen Ordnung und Norm ein tiefes Verständnis solcher normierter Räume. An dieser Stelle setzen folgende Überlegungen an: - Die genaue Untersuchung einiger Resultate der reichhaltigen Banachverbandstheorie ließ (zu Recht) vermuten, dass in manchen Fällen die Verbandsnormeigenschaft keine notwendige Voraussetzung
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47

Mereacre, Alexandru [Verfasser]. "Verification of continuous-space stochastic systems / Alexandru Mereacre." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2012. http://d-nb.info/1025516648/34.

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48

Maw, Rachel Leigh. "Space-time Coded Systems with Continuous Phase Modulation." Thesis, University of Canterbury. Electrical and Computer Engineering, 2007. http://hdl.handle.net/10092/1185.

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Space-time coded systems developed in the last ten years have been designed primarily using linear modulation. Non-linear continuous phase modulation has desirable constant envelope properties and considerable potential in space-time coded systems. The work in this thesis is focussed on developing and analysing an integrated space-time coded continuous phase modulated (STC-CPM) system. The coding of the space-time encoder and the modulation is incorporated into a single trellis encoder. This allows state combining, which leads to complexity reduction due to the reduced number of states
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Nichols, B. "Reinforcement learning in continuous state- and action-space." Thesis, University of Westminster, 2014. https://westminsterresearch.westminster.ac.uk/item/967w8/reinforcement-learning-in-continuous-state-and-action-space.

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Abstract:
Reinforcement learning in the continuous state-space poses the problem of the inability to store the values of all state-action pairs in a lookup table, due to both storage limitations and the inability to visit all states sufficiently often to learn the correct values. This can be overcome with the use of function approximation techniques with generalisation capability, such as artificial neural networks, to store the value function. When this is applied we can select the optimal action by comparing the values of each possible action; however, when the action-space is continuous this is not p
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Grönland, Axel, and Möllerstedt Viktor Eriksson. "Robust Reinforcement Learning in Continuous Action/State Space." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-293879.

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In this project we aim to apply Robust Reinforce-ment Learning algorithms, presented by Doya and Morimoto [1],[2], to control problems. Specifically, we train an agent to balancea pendulum in the unstable equilibrium, which is the invertedstate.We investigate the performance of controllers based on twodifferent function approximators. One is quadratic, and the othermakes use of a Radial Basis Function neural network. To achieverobustness we will make use of an approach similar toH∞control, which amounts to introducing an adversary in the controlsystem.By changing the mass of the pendulum after
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