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Dissertations / Theses on the topic 'Isometrics (Mathematics) Banach spaces'

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Published: 4 June 2021

Last updated: 1 February 2022

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1

Cowell, Simon Kalton Nigel J. "Asymptotic unconditionality in Banach spaces." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/6149.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb. 20, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Professor Nigel J. Kalton. Vita. Includes bibliographical references.

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2

Shao, Chuang Gao Su. "Urysohn ultrametric spaces and isometry groups." [Denton, Tex.] : University of North Texas, 2009. http://digital.library.unt.edu/permalink/meta-dc-9918.

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3

West, Graeme Philip. "Non-commutative Banach function spaces." Master's thesis, University of Cape Town, 1990. http://hdl.handle.net/11427/17117.

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4

Gowers, William T. "Symmetric structures in Banach spaces." Thesis, University of Cambridge, 1990. https://www.repository.cam.ac.uk/handle/1810/252814.

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5

Kalaichelvan, Rajendra. "Function spaces and a problem of banach." Doctoral thesis, University of Cape Town, 2000. http://hdl.handle.net/11427/4895.

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Bibliography: leaves 87-90.<br>Function spaces have been a useful tool in probing the convergence of sequences of functions. The theory seems to have been triggered off by the works of Ascoli [36], Arzelà [37] and Hadamard [38]. In this thesis, we consider the space of continuous functions from a topological space X into the reals R, which we denote C(X).

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6

Doré, Michael J. "Universal Fréchet sets in Banach spaces." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/3688/.

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We define a universal Fréchet set S of a Banach space Y as a subset containing a point of Fréchet differentiability of every Lipschitz function g : Y -> R. We prove a sufficient condition for S to be a universal Fréchet set and use this to construct new examples of such sets. The strongest such result says that in a non-zero Banach space Y with separable dual one can find a universal Fréchet set S ⊆ Y that is closed, bounded and has Hausdorff dimension one.

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7

Zheng, Bentuo. "Embeddings and factorizations of Banach spaces." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1551.

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8

Blagojevic, Danilo. "Spectral families and geometry of Banach spaces." Thesis, University of Edinburgh, 2007. http://hdl.handle.net/1842/2389.

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The principal objects of study in this thesis are arbitrary spectral families, E, on a complex Banach space X. The central theme is the relationship between the geometry of X and the p-variation of E. We show that provided X is super- reflexive, then given any E, there exists a value 1 Â· p < 1, depending only on E and X, such that var p(E) < 1. If X is uniformly smooth we provide an explicit range of such values p, which depends only on E and the modulus of convexity of X*, delta X*(.).

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9

Ochoa, James Philip. "Tensor Products of Banach Spaces." Thesis, University of North Texas, 1996. https://digital.library.unt.edu/ark:/67531/metadc278580/.

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Tensor products of Banach Spaces are studied. An introduction to tensor products is given. Some results concerning the reciprocal Dunford-Pettis Property due to Emmanuele are presented. Pelczyriski's property (V) and (V)-sets are studied. It will be shown that if X and Y are Banach spaces with property (V) and every integral operator from X into Y* is compact, then the (V)-subsets of (X⊗F)* are weak* sequentially compact. This in turn will be used to prove some stronger convergence results for (V)-subsets of C(Ω,X)*.

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10

Sarantopoulos, I. C. "Polynomials and multilinear mappings in Banach spaces." Thesis, Brunel University, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376057.

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11

Dymond, Michael Robert. "Differentiability and negligible sets in Banach spaces." Thesis, University of Birmingham, 2014. http://etheses.bham.ac.uk//id/eprint/5158/.

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A set S in a Banach space X is called a universal differentiability set if S contains a point of differentiability of every Lipschitz function f : X -> R. The present thesis investigates the nature of such sets. We uncover examples of exceptionally small universal differentiability sets and prove that all universal differentiability sets satisfy certain strong structural conditions. Later, we expand our focus to properties of more general absolutely continuous functions.

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12

Jeganathan, P. "Fixed points for nonexpansive mappings in Banach spaces." Master's thesis, University of Cape Town, 1991. http://hdl.handle.net/11427/17067.

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13

Obeid, Ossama A. "Property (H*) and Differentiability in Banach Spaces." Thesis, University of North Texas, 1993. https://digital.library.unt.edu/ark:/67531/metadc277852/.

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A continuous convex function on an open interval of the real line is differentiable everywhere except on a countable subset of its domain. There has been interest in the problem of characterizing those Banach spaces where the continuous functions exhibit similar differentiability properties. In this paper we show that if a Banach space E has property (H*) and B_E• is weak* sequentially compact, then E is an Asplund space. In the case where the space is weakly compactly generated, it is shown that property (H*) is equivalent for the space to admit an equivalent Frechet differentiable norm. More

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14

Al-Nayef, Anwar Ali Bayer, and mikewood@deakin edu au. "Semi-hyperbolic mappings in Banach spaces." Deakin University. School of Computing and Mathematics, 1997. http://tux.lib.deakin.edu.au./adt-VDU/public/adt-VDU20051208.110247.

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The definition of semi-hyperbolic dynamical systems generated by Lipschitz continuous and not necessarily invertible mappings in Banach spaces is presented in this thesis. Like hyperbolic mappings, they involve a splitting into stable and unstable spaces, but a slight leakage from the strict invariance of the spaces is possible and the unstable subspaces are assumed to be finite dimensional. Bi-shadowing is a combination of the concepts of shadowing and inverse shadowing and is usually used to compare pseudo-trajectories calculated by a computer with the true trajectories. In this thesis, the

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15

Groves, James Stuart. "A study of stochastic processes in Banach spaces." Thesis, Lancaster University, 2000. http://eprints.lancs.ac.uk/125004/.

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The theory of 2-convex norms is applied to Banach space valued random vectors. Use is made of a norm on random vectors, introduced by Pisier, equal to the 2-absolutely summing norm on an associated space of operators. For Q the variance of some centred Gaussian random vector in a separable Banach space it is shown that, necessarily, Q factors through l2 as a product of 2-summing operators. This factorisation condition is sufficient when the Banach space is of Gaussian type 2. The stochastic integral of a family of operators with respect to a cylindrical Q-Wiener process is shown to exist under

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16

Shao, Chuang. "Urysohn ultrametric spaces and isometry groups." Thesis, University of North Texas, 2009. https://digital.library.unt.edu/ark:/67531/metadc9918/.

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In this dissertation we study a special sub-collection of Polish metric spaces: complete separable ultrametric spaces. Polish metric spaces have been studied for quite a long while, and a lot of results have been obtained. Motivated by some of earlier research, we work on the following two main parts in this dissertation. In the first part, we show the existence of Urysohn Polish R-ultrametric spaces, for an arbitrary countable set R of non-negative numbers, including 0. Then we give point-by-point construction of a countable R-ultra-Urysohn space. We also obtain a complete characterization fo

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17

Boos, Lynette J. "Function Algebras on Riemann Surfaces and Banach Spaces." Bowling Green State University / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1151340555.

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18

Doust, Ian Raymond. "Well-bounded operators and the geometry of Banach spaces." Thesis, University of Edinburgh, 1988. http://hdl.handle.net/1842/13705.

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19

de, Mendonca Braga Bruno. "On the Borel Complexity of some classes of Banach spaces." Thesis, Kent State University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3618917.

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<p> In this dissertation I mainly study several classes of Banach spaces and I try to compute, of at least to obtain a lower/upper bound, to its Borel complexity. Also, using those results, we show some non-universality results for some of those classes of Banach spaces.</p>

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20

Bihun, Oksana Chicone Carmen Charles. "Approximate isometries and distortion energy functionals." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/6129.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb. 11, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Professor Carmen Chicone. Vita. Includes bibliographical references.

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21

Hume, David S. "Embeddings of infinite groups into Banach spaces." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:e38f58ec-484c-4088-bb44-1556bc647cde.

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In this thesis we build on the theory concerning the metric geometry of relatively hyperbolic and mapping class groups, especially with respect to the difficulty of embedding such groups into Banach spaces. In Chapter 3 (joint with Alessandro Sisto) we construct simple embeddings of closed graph manifold groups into a product of three metric trees, answering positively a conjecture of Smirnov concerning the Assouad-Nagata dimension of such spaces. Consequently, we obtain optimal embeddings of such spaces into certain Banach spaces. The ideas here have been extended to other closed three-manifo

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22

Jiang, Jiaosheng. "Bounded operators without invariant subspaces on certain Banach spaces." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3037506.

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23

Sbeih, Reema. "NON-LINEAR MAPS BETWEEN SUBSETS OF BANACH SPACES." Kent State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=kent1251217291.

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24

Tarbard, Matthew. "Operators on Banach spaces of Bourgain-Delbaen type." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:4be220be-9347-48a1-85e6-eb0a30a8d51a.

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The research in this thesis was initially motivated by an outstanding problem posed by Argyros and Haydon. They used a generalised version of the Bourgain-Delbaen construction to construct a Banach space $XK$ for which the only bounded linear operators on $XK$ are compact perturbations of (scalar multiples of) the identity; we say that a space with this property has very few operators. The space $XK$ possesses a number of additional interesting properties, most notably, it has $ell_1$ dual. Since $ell_1$ possesses the Schur property, weakly compact and norm compact operators on $XK$ coincide.

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25

Song, Hi Ja. "Gaussian measures on certain classes of Banach lattices /." The Ohio State University, 1985. http://rave.ohiolink.edu/etdc/view?acc_num=osu148726460321672.

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26

Maergoiz, L., and Nikolai Tarkhanov. "Optimal recovery from a finite set in Banach spaces of entire functions." Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2009/3019/.

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We develop an approach to the problem of optimal recovery of continuous linear functionals in Banach spaces through information on a finite number of given functionals. The results obtained are applied to the problem of the best analytic continuation from a finite set in the complex space Cn, n ≥ 1, for classes of entire functions of exponential type which belong to the space Lp, 1 < p < 1, on the real subspace of Cn. These latter are known as Wiener classes.

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27

Albasrawi, Fatimah Hassan. "Floquet Theory on Banach Space." TopSCHOLAR®, 2013. http://digitalcommons.wku.edu/theses/1234.

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In this thesis we study Floquet theory on a Banach space. We are concerned about the linear differential equation of the form: y'(t) = A(t)y(t), where t ∈ R, y(t) is a function with values in a Banach space X, and A(t) are linear, bounded operators on X. If the system is periodic, meaning A(t+ω) = A(t) for some period ω, then it is called a Floquet system. We will investigate the existence and uniqueness of the periodic solution, as well as the stability of a Floquet system. This thesis will be presented in five main chapters. In the first chapter, we review the system of linear differential e

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28

Krause, Cory A. "Infinitary Combinatorics and the Spreading Models of Banach Spaces." Thesis, University of North Texas, 2019. https://digital.library.unt.edu/ark:/67531/metadc1505210/.

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Spreading models have become fundamental to the study of asymptotic geometry in Banach spaces. The existence of spreading models in every Banach space, and the so-called good sequences which generate them, was one of the first applications of Ramsey theory in Banach space theory. We use Ramsey theory and other techniques from infinitary combinatorics to examine some old and new questions concerning spreading models and good sequences. First, we consider the lp spreading model problem which asks whether a Banach space contains lp provided that every spreading model of a normalized block basic s

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29

Hymel, Arthur J. (Arthur Joseph). "Weak and Norm Convergence of Sequences in Banach Spaces." Thesis, University of North Texas, 1993. https://digital.library.unt.edu/ark:/67531/metadc500521/.

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We study weak convergence of sequences in Banach spaces. In particular, we compare the notions of weak and norm convergence. Although these modes of convergence usually differ, we show that in ℓ¹ they coincide. We then show a theorem of Rosenthal's which states that if {𝓍ₙ} is a bounded sequence in a Banach space, then {𝓍ₙ} has a subsequence {𝓍'ₙ} satisfying one of the following two mutually exclusive alternatives; (i) {𝓍'ₙ} is weakly Cauchy, or (ii) {𝓍'ₙ} is equivalent to the unit vector basis of ℓ¹.

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30

Kiteu, Marco M. "Orbits of operators on Hilbert space and some classes of Banach spaces." Kent State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1341850621.

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31

Brackebusch, Ruth Elaine. "James space on general trees /." The Ohio State University, 1985. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487260135357124.

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32

Hare, David Edwin George. "A duality theory for Banach spaces with the Convex Point-of-Continuity Property." Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/27313.

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A norm ||⋅|| on a Banach space X is Fréchet differentiable at x ∈ X if there is a functional ∫∈ X* such that [Formula Omitted] This concept reflects the smoothness characteristics of X. A dual Banach space X* has the Radon-Nikodym Property (RNP) if whenever C ⊂ X* is weak*-compact and convex, and ∈ > 0, there is an x ∈ X and an ⍺ > 0 such that diameter [Formula Omitted] this property reflects the convexity characteristics of X*. Culminating several years of work by many researchers, the following theorem established a strong connection between the smoothness of X and the convexity of X*: Eve

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33

Niyitegeka, Jean Marie Vianney. "Generalizations of some fixed point theorems in banach and metric spaces." Thesis, Nelson Mandela Metropolitan University, 2015. http://hdl.handle.net/10948/5265.

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A fixed point of a mapping is an element in the domain of the mapping that is mapped into itself by the mapping. The study of fixed points has been a field of interests to mathematicians since the discovery of the Banach contraction theorem, i.e. if is a complete metric space and is a contraction mapping (i.e. there exists such that for all ), then has a unique fixed point. The Banach contraction theorem has found many applications in pure and applied mathematics. Due to fixed point theory being a mixture of analysis, geometry, algebra and topology, its applications to other fields such as phy

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34

Lee, Haewon. "Nolinear Evolution Equations and Optimization Problems in Banach Spaces." Ohio University / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1127498683.

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35

Crewe, Paul. "Some problems in abstract stochastic differential equations on Banach spaces." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:195c374f-3181-41b9-92d7-b375701a0b81.

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This thesis studies abstract stochastic differential equations on Banach spaces. The well-posedness of abstract stochastic differential equations on such spaces is a recent result of van Neerven, Veraar and Weis, based on the theory of stochastic integration of Banach space valued processes constructed by the same authors. We study existence and uniqueness for solutions of stochastic differential equations with (possibly infinite) delay in their inputs on UMD Banach spaces. Such problems are also known as functional differential equations or delay differential equations. We show that the metho

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36

Chidume, Chukwudi Soares de Souza Geraldo. "Iteration methods for approximation of solutions of nonlinear equations in Banach spaces." Auburn, Ala., 2008. http://repo.lib.auburn.edu/EtdRoot/2008/SUMMER/Mathematics_and_Statistics/Dissertation/Chidume_Chukwudi_33.pdf.

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37

Bjorkman, Kaitlin. "A Weak Groethendieck Compactness Principle for Infinite Dimensional Banach Spaces." VCU Scholars Compass, 2013. http://scholarscompass.vcu.edu/etd/3042.

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The goal of this thesis is to give an exposition of the following recent result of Freeman, Lennard, Odell, Turett and Randrianantoanina. A Banach space has the Schur property if and only if every weakly compact set is contained in the closed convex hull of a weakly null sequence. This result complements an old result of Grothendieck (now called the Grothendieck Compactness Principle) stating that every norm compact subset of a Banach space is contained in the closed convex hull of a norm null sequence. We include many of the relevant definitions and preliminary results which are required in t

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38

Kozhushkina, Olena. "The Bishop-Phelps-Bollobás Theorem and Operators on Banach Spaces." Kent State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=kent1404231789.

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39

Robdera, Mangatiana A. "On the analytic complete continuity property of Banach spaces and convolution operators /." free to MU campus, to others for purchase, 1996. http://wwwlib.umi.com/cr/mo/fullcit?p9737875.

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40

Alsulami, Saud M. A. "On Evolution Equations in Banach Spaces and Commuting Semigroups." Ohio University / OhioLINK, 2005. http://www.ohiolink.edu/etd/view.cgi?ohiou1126042587.

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41

Braga, Bruno. "On the Borel complexity of some classes of Banach spaces." Kent State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=kent1377115201.

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42

Schlackow, Iryna. "Classes of C(K) spaces with few operators." Thesis, University of Oxford, 2008. http://ora.ox.ac.uk/objects/uuid:e16273c8-c5fd-4a68-a9ca-cd4edb350c5c.

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We investigate properties of Koszmider spaces. We show that if K and L are compact Hausdor spaces with no isolated points, K is Koszmider and C(K) is isomorphic to C(L), then K and L are homeomorphic and, in particular, L is also Koszmider. We also analyse topological properties of Koszmider spaces and show that a connected Koszmider space is strongly rigid. In addition to Koszmider spaces, we introduce the notion of weakly Koszmider spaces. Having established an alternative characterisation thereof, we show that, while it is evident that every Koszmider space is weakly Koszmider, the reverse

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43

Garcia, Francisco Javier. "THREE NON-LINEAR PROBLEMS ON NORMED SPACES." Kent State University / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=kent1171042141.

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44

Blower, G. "A topic in functional analysis." Thesis, University of Oxford, 1989. http://ora.ox.ac.uk/objects/uuid:0724199d-41fd-48f1-882c-19602576a2a0.

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We introduce the class AUMD of Banach spaces X for which X-valued analytic martingales converge unconditionally. We shew that various possible definitions of this class are equivalent by methods of martingale decomposition. We shew that such X have finite cotype and are q-complex uniformly convex in the sense of Garling. Using multipliers we shew that analytic martingales valued in L<sup>1</sup> converge unconditionally and that AUMD spaces have the analytic Radon-Nikodym property. We shew that X has the AUMD property if and only if strong Hbrmander-Mihlin multipliers are bounded on the Hardy

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45

Cho, Chong-Man d. "M-ideal structures in operator algebras /." The Ohio State University, 1985. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487259125219421.

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46

Ghaemi, Mohammad B. "Spectral theory of linear operators." Thesis, Connect to e-thesis, 2000. http://theses.gla.ac.uk/998/.

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Thesis (Ph.D.) - University of Glasgow, 2000.<br>Ph.D. thesis submitted to the Department of Mathematics, University of Glasgow, 2000. Includes bibliographical references. Print version also available.

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47

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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48

Constantin, Elena. "Optimization and flow invariance via high order tangent cones." Ohio : Ohio University, 2005. http://www.ohiolink.edu/etd/view.cgi?ohiou1125418579.

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49

Gimre, Karsten Trevor. "Quasi-local energy and isometric embedding." Thesis, 2016. https://doi.org/10.7916/D8765FB1.

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In this thesis, we consider the recent definition of gravitational energy at the quasi-local level provided by Mu-Tao Wang and Shing-Tung Yau. Their definition poses a variational question predicated on isometric embedding of Riemannian surfaces into the Minkowski space; as such, there is a naturally associated Euler-Lagrange equation, which is a fourth-order system of partial differential equations for the embedding functions. We prove a perturbation result for solutions of this Euler-Lagrange equation.

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50

Lokesha, V. "Studies on theory of linear operators on Banach spaces." Thesis, 2002. http://hdl.handle.net/2009/1553.

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