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Thèses sur le sujet « Continuous function spaces »

Auteur : Grafiati

Publié le 4 juin 2021

Mis à jour le 7 février 2022

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1

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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2

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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3

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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4

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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5

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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6

Amaya, Austin J. "Beurling-Lax Representations of Shift-Invariant Spaces, Zero-Pole Data Interpolation, and Dichotomous Transfer Function Realizations: Half-Plane/Continuous-Time Versions." Diss., Virginia Tech, 2012. http://hdl.handle.net/10919/27636.

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Given a full-range simply-invariant shift-invariant subspace <i>M</i> of the vector-valued <i>L<sup>2</sup></i> space on the unit circle, the classical Beurling-Lax-Halmos (BLH) theorem obtains a unitary operator-valued function <i>W</i> so that <i>M</i> may be represented as the image of of the Hardy space <i>H<sup>2</sup></i> on the disc under multiplication by <i>W</i>. The work of Ball-Helton later extended this result to find a single function representing a so-called dual shift-invariant pair of subspaces <i>(M,M<sup>Ã </sup>)</i> which together form a direct-sum decomposition of <i>L<su

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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

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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15

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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16

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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17

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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18

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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19

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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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

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

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22

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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23

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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24

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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25

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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26

Riel, Zachariah Charles. "On Certain Classes and Ideals of Operators on L₁." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1479753036578682.

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27

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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28

Du, Plooy (Mocke) Lucinda Lucille. "An ethnographic study of the learning practices of grade 6 students in an urban township school in the Western Cape: a sociological perspective." Thesis, University of the Western Cape, 2010. http://hdl.handle.net/11394/2055.

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Magister Educationis - MEd<br>The study's main starting premises is that there is a disjuncture between the rich educational engagements of these students in their environmental space and how their learning practices are framed, informed and positioned in the institutional space. My study is underpinned by an interpretivist paradigm in terms of which I set out to describe and understand the meanings that the student respondents assign to their learning practices when they are involved in discursive practices of speaking, knowing, doing, reading and writing. Qualitative research instruments: fi

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29

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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Fernández, Juan Francisco Camasca. "Algumas aplicações de combinatória infinita a espaços de funções contínuas." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-27072017-164022/.

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O principal objetivo deste trabalho é estudar diversas aplicações de combinatória infinita em espaços de funções contínuas, definidas em espaços compactos Hausdorff. Usando combinatória infinita para uma álgebra de Boole, por meio da dualidade de Stone, obtemos um espaço compacto Hausdorff. Com certas propriedades na álgebra de Boole é possível analisar propriedades analíticas no espaço de funções contínuas definidas em tal espaço. Especificamente, analisamos a propriedade de Grothendieck. Também analisamos a relação entre o espaço de funções contínuas e o espaço compacto Hausdorff sobre o qua

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31

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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32

Jeang, Jyh-Shyang, and 蔣志祥. "Fredholm, Shift and Composition Operators of Continuous Function Spaces." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/60560029281679875967.

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博士<br>國立中山大學<br>應用數學系<br>88<br>This paper extends and gives several applications of our previous works [36,37] with plenty of results about linear isometries and disjointness preserving operators. They will help us to understand the structures of Fredholm operators and shifts more deeply. There are two aspects: (I) Let $X$ and $Y$ be locally compact Hausdorff spaces, let $E$ and $F$ be Banach spaces, and let $T$ be a linear isometry from $C_0(X,E)$ {\em into\/} $C_0(Y,F)$. We provide in this paper three new answers to the Banach-Stone problem: (1) $T$ can always be written as a g

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Nailana, Koena Rufus. "Ordered spaces of continuous functions and bitopological spaces." Thesis, 2000. http://hdl.handle.net/10500/17559.

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This thesis is divided into two parts: Ordered spaces of Continuous Functions and the algebras associated with the topology of pointwise convergence of the associated construct, and Strictly completely regular bitopological spaces. The Motivation for part of the first part (Chapters 2, 3 and 4) comes from the recent study of function spaces for bitopological spaces in [44] and [45]. In these papers we see a clear generalisation of classical results in function spaces ( [14] and [55]) to bi-topological spaces. The well known definitions of the pointwise topology and the compact open topo

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34

Lin, Sue-Hwi, and 林淑惠. "On almost convergence of continuous functions in Banach spaces." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/64127013171886359305.

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碩士<br>國立中央大學<br>數學研究所<br>93<br>This thesis is concerned with the relations between almost convergence, strongly almost convergence, convergence in (C,1) sense, convergence in C-all* sense in the space C([0,∞), X ) of all continuous function with values in Banach space X. Some counterexamples of these properties are discussed.

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Liu, Ching-Wen, and 劉晴雯. "2-Local Isometries between Continuously Differentiable Function Spaces." Thesis, 2019. http://ndltd.ncl.edu.tw/cgi-bin/gs32/gsweb.cgi/login?o=dnclcdr&s=id=%22107NCHU5507011%22.&searchmode=basic.

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碩士<br>國立中興大學<br>應用數學系所<br>107<br>Let C^(n)([0,1]) denote the Banach space of n-times continuously differentiable functions on the closed unit interval [0,1]. In this thesis, we show that every 2-local isometry between C^1([0,1]), equipped with the norm ||f|| = sup_{x ∈ [0,1]{|f(x)|+|f''(x)|} is a surjective linear isometry. Moreover, a complete description of such maps is presented.

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36

Venter, Rudolf Gerrit. "Measures and functions in locally convex spaces." Thesis, 2010. http://hdl.handle.net/2263/26547.

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In this dissertation we establish results concerning in locally convex spaces-valued measures and measurable functions. The results are explained in three parts: Firstly, we establish Liapounoff convexity-type results for locally convex space-valued measures defined on fields (of sets) or equivalently on Boolean Algebras. Liapounoff convexity-type theorems concern the compactness and convexity of the closure of the range of a vector measure. We specifically investigate such results for measures defined on fields and fields of sets with the interpolation property. We find that vector measures d

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37

Bilokopytov, Ievgen. "Different Aspects Of Embedding Of Normed Spaces Of Analytic Functions." 2013. http://hdl.handle.net/1993/22089.

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In the present work we develop a unified way of looking at normed spaces of analytic functions (NSAF's) and their embedding into the Frechet space of analytic functions on a general domain, by requiring only that the embedding map is bounded. This is a succinct definition of NSAF and derive from it a list of interesting properties. For example Proposition 4.4 describes the behavior of point evaluations and Proposition 4.6 part (i) gives a general sufficient condition for a NSAF to be a Banach space, which as far as we know, are new results. Also, Proposition 4.5, parts (ii) and (iii) of Propos

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Manca, Luigi. "Kolmogorov Operators in Spaces of Continuous Functions and Equations for Measures." Phd thesis, 2008. http://tel.archives-ouvertes.fr/tel-00378888.

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La thèse est consacrée à étudier les relations entre les Équations aux Derivées Partielles Stochastiques et l'operateur de Kolmogorov associé dans des espaces de fonctions continues.<br />Dans la première partie, la théorie de la convergence faibles des fonctions est mis au point afin de donner des résultats généraux sur les semi-groupes des Markov et leur générateur.<br />Dans la deuxième partie, des modèles de semi-groups de Markov associés à des équations aux dérivées partielles stochastiques sont étudiés. En particulier, Ornstein-Uhlenbeck, réaction-diffusion et équations de Burgers ont ét

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39

Agethen, Simone [Verfasser]. "Spaces of continuous and holomorphic functions with growth conditions / Simone Agethen." 2004. http://d-nb.info/973690089/34.

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40

Ravindran, B. "Solution Of Delayed Reinforcement Learning Problems Having Continuous Action Spaces." Thesis, 1996. http://etd.iisc.ernet.in/handle/2005/1725.

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41

Luther, Uwe. "Approximation Spaces in the Numerical Analysis of Cauchy Singular Integral Equations." Doctoral thesis, 2004. https://monarch.qucosa.de/id/qucosa%3A17285.

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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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Ludvík, Pavel. "Izometrické a izomorfní klasifikace prostorů spojitých a baireovských afinních funkcí." Doctoral thesis, 2014. http://www.nusl.cz/ntk/nusl-326175.

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This thesis consists of five research papers. The first paper: We prove that under certain conditions, the existence of an isomorphism between spaces of continuous affine functions on the compact convex sets imposes home- omorphism between the sets of its extreme points. The second: We investigate a transfer of descriptive properties of elements of biduals of Banach spaces con- strued as functions on dual unit balls. We also prove results on the relation of Baire classes and intrinsic Baire classes of L1-preduals. The third: We identify intrinsic Baire classes of X with the spaces of odd or ho

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(Mocke), Lucinda Lucille Du Plooy. "An ethnographic study of the learning practices of grade 6 students in an urban township school in the Western Cape :a sociological perspective." Thesis, 2010. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_4242_1298979576.

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<p>The study&rsquo<br>s main starting premises is that there is a disjuncture between the rich educational engagements of these students in their environmental space and how their learning practices are framed, informed and positioned in the institutional space. My study is underpinned by an interpretivist paradigm in terms of which I set out to describe and understand the meanings that the student respondents assign to their learning practices when they are involved in discursive practices of speaking, knowing, doing, reading and writing. Qualitative research instruments: field notes, partici

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Wentzel, Dorithea Maria. "Kwasizabantu : a spatial development framework and detail design." Diss., 2006. http://hdl.handle.net/2263/24388.

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The aim of this thesis is to analyse and interpret the existent and future needs of the people and environment of the mission station, Kwasizabantu,to ensure settlement growth that will enhance the social, economical and environmental aspects of the settlement. This will result in a development framework of the whole site, a master plan for the lifespan of the settlement and detailed design of the heart of the settlement.<br>Dissertation (ML(Prof))--University of Pretoria, 2009.<br>Architecture<br>unrestricted

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