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Dissertations / Theses on the topic 'Banach algebras'

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Published: 4 June 2021

Last updated: 30 July 2024

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1

Cowell, S. R. "Unitary Banach algebras." Thesis, Swansea University, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636306.

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Chapter 1 defines the notion of a unitary Banach algebra, and gives various examples. The inheritance of the unitary property of quotients and subalgebras is investigated, the main result being that the class of unitary Banach algebras is exactly the class of quotients of discrete group algebras. One problem that is discussed is whether a unitary subalgebra needs to inherit the unit element. Chapter 2 gives several other characterisations of unitary Banach algebras among norm-unital Banach algebras, in particular by conditions on the numerical range. The topological properties of the unitary B

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2

Daws, Matthew David Peter. "Banach algebras of operators." Thesis, University of Leeds, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414151.

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3

Gourdeau, Frederic Marcel. "Amenability of Banach algebras." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305500.

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4

Heath, Matthew J. "Bounded derivations from Banach algebras." Thesis, University of Nottingham, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.519425.

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5

Knapper, Andrew. "Derivations on certain banach algebras." Thesis, University of Birmingham, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.368411.

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6

Feinstein, Joel Francis. "Derivations from Banach function algebras." Thesis, University of Leeds, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329058.

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7

Yang, Hongfei. "Properties of Banach function algebras." Thesis, University of Nottingham, 2018. http://eprints.nottingham.ac.uk/49075/.

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This thesis is devoted to the study of various properties of Banach function algebras. We are particularly interested in the study of antisymmetric decompositions for uniform algebras and regularity of Banach function algebras. We are also interested in the study of Swiss cheese sets, essential uniform algebras and characterisations of C(X) among its subalgebras. The maximal antisymmetric decomposition for uniform algebras is a generalisation of the celebrated Stone-Weierstrass theorem and it is a powerful tool in the study of uniform algebras. However, in the literature, not much attention ha

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8

Mudau, Leonard Gumani. "Zero divisors in banach algebras." Thesis, University of Limpopo (Medunsa Campus), 2010. http://hdl.handle.net/10386/632.

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9

Choi, Yemon. "Cohomology of commutative Banach algebras and lÂ¹-semigroup algebras." Thesis, University of Newcastle Upon Tyne, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427291.

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10

Schick, G. J. "Spectrally bounded operators on Banach algebras." Thesis, Queen's University Belfast, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.390862.

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11

Bland, William J. "Banach function algebras and their properties." Thesis, University of Nottingham, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.364660.

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12

Oliver, Thomas. "Extensions of endomorphisms of Banach algebras." Thesis, University of Nottingham, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432001.

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13

Pourabbas, Abdolrasoul. "The cohomology of some Banach algebras." Thesis, University of Newcastle Upon Tyne, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318540.

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14

Zsák, András. "Algebras of operators on Banach spaces." Thesis, University of Cambridge, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621830.

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15

Heymann, Retha. "Fredholm theory in general Banach algebras." Thesis, Stellenbosch : University of Stellenbosch, 2010. http://hdl.handle.net/10019.1/4265.

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Thesis (MSc (Mathematics))--University of Stellenbosch, 2010.<br>ENGLISH ABSTRACT: This thesis is a study of a generalisation, due to R. Harte (see [9]), of Fredholm theory in the context of bounded linear operators on Banach spaces to a theory in a Banach algebra setting. A bounded linear operator T on a Banach space X is Fredholm if it has closed range and the dimension of its kernel as well as the dimension of the quotient space X/T(X) are finite. The index of a Fredholm operator is the integer dim T−1(0)−dimX/T(X). Weyl operators are those Fredholm operators of which the index is zer

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16

Kuo, Po Ling. "Algebras de Banach de funções continuas." [s.n.], 2003. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306891.

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Orientador : Jorge Tulio Mujica Ascui<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-03T00:57:25Z (GMT). No. of bitstreams: 1 Kuo_PoLing_M.pdf: 558728 bytes, checksum: c3e86d7e2ae08fa1336b62cf274673dc (MD5) Previous issue date: 2003<br>Mestrado<br>Mestre em Matemática

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17

Bertoloto, Fábio José. "Algebras de Banach de funções analiticas." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307335.

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Orientador: Jorge Tulio Mujica Ascui<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação<br>Made available in DSpace on 2018-08-04T04:15:50Z (GMT). No. of bitstreams: 1 Bertoloto_FabioJose_M.pdf: 1324259 bytes, checksum: f7fd3d37bfe8d06ad156b30761402bfe (MD5) Previous issue date: 2005<br>Resumo: O principal objetivo deste trabalho é o estudo de certos espaços de Banach de funções analíticas no disco aberto unitário, conhecidos como espaços de Hardy. Um outro objetivo é o estudo das propriedades básicas de álgebras de Banach, com es

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18

White, Jared. "Banach algebras on groups and semigroups." Thesis, Lancaster University, 2018. http://eprints.lancs.ac.uk/125490/.

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This thesis concerns the theory of Banach algebras, particularly those coming from abstract harmonic analysis. The focus for much of the thesis is the theory of the ideals of these algebras. In the final chapter we use semigroup algebras to solve an open probelm in the theory of C*-algebras. Throughout the thesis we are interested in the interplay between abstract algebra and analysis. Chapters 2, 4, and 5 are closely based upon the articles [88], [89], and [56], respectively. In Chapter 2 we study (algebraic) finite-generation of closed left ideals in Banach algebras. Let G be a locally compa

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19

Oberbroeckling, Lisa A. "Generalized inverses in certain Banach algebras /." view abstract or download file of text, 2002. http://wwwlib.umi.com/cr/uoregon/fullcit?p3055703.

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Thesis (Ph. D.)--University of Oregon, 2002.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 57-58). Also available for download via the World Wide Web; free to University of Oregon users. Address: http://wwwlib.umi.com/cr/uoregon/fullcit?p3055703.

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20

Moore, David. "Endomorphisms of commutative unital Banach algebras." Thesis, University of Nottingham, 2017. http://eprints.nottingham.ac.uk/39674/.

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This thesis is a collection of theorems which say something about the following question: if we know that a bounded operator on a commutative unital Banach algebra is a unital endomorphism, what can we say about its other properties? More specifically, the majority of results say something about how the spectrum of a commutative unital Banach algebra endomorphism is dependent upon the properties of the algebra on which it acts. The main result of the thesis (the subject of Chapter 3) reveals that primary ideals (that is, ideals with single point hulls) can sometimes be particularly important i

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21

Zhang, Yong. "Amenability and weak amenability of Banach algebras." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0004/NQ41635.pdf.

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22

Howey, Richard Andrew Jonathon. "Approximately multiplicative maps between some Banach algebras." Thesis, University of Newcastle Upon Tyne, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.324859.

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23

Muzundu, Kelvin. "Spectral theory in commutatively ordered banach algebras." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/71619.

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24

Weigt, Martin. "Spectrum preserving linear mappings between Banach algebras." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53597.

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Thesis (MSc)--University of Stellenbosch, 2003.<br>ENGLISH ABSTRACT: Let A and B be unital complex Banach algebras with identities 1 and I' respectively. A linear map T : A -+ B is invertibility preserving if Tx is invertible in B for every invertible x E A. We say that T is unital if Tl = I'. IfTx2 = (TX)2 for all x E A, we call T a Jordan homomorphism. We examine an unsolved problem posed by 1. Kaplansky: Let A and B be unital complex Banach algebras and T : A -+ B a unital invertibility preserving linear map. What conditions on A, Band T imply that T is a Jordan homomorphism? Parti

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25

Skillicorn, Richard. "Discontinuous homomorphisms from Banach algebras of operators." Thesis, Lancaster University, 2016. http://eprints.lancs.ac.uk/79356/.

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The relationship between a Banach space X and its Banach algebra of bounded operators B(X) is rich and complex; this is especially so for non-classical Banach spaces. In this thesis we consider questions of the following form: does there exist a Banach space X such that B(X) has a particular (Banach algebra) property? If not, is there a quotient of B(X) with the property? The first of these is the uniqueness-of-norm problem for Calkin algebras: does there exist a Banach space whose Calkin algebra lacks a unique complete norm? We show that there does indeed exist such a space, answering a class

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26

Morley, Sam. "Regularity and extensions of Banach function algebras." Thesis, University of Nottingham, 2017. http://eprints.nottingham.ac.uk/43358/.

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In this thesis we investigate the properties of various Banach function algebras and uniform algebras. We are particularly interested in regularity of Banach function algebras and extensions of uniform algebras. The first chapter contains the background in normed algebras, Banach function algebras, and uniform algebras which will be required throughout the thesis. In the second chapter we investigate the classicalisation of certain compact subsets of the complex plane obtained by deleting a sequence of open disks from a closed disk. Sets obtained in this manner are called Swiss cheese sets. We

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27

Zuick, Nhan H. "The Gelfand Theorem for Commutative Banach Algebras." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/243.

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We give an overview of the basic properties of Banach Algebras. After that we specialize to the case of commutative Banach Algebras and study the Gelfand Map. We study the main characteristic of that map, and work on some applications.

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28

Bird, Alistair. "A study of James-Schreier spaces as Banach spaces and Banach algebras." Thesis, Lancaster University, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.551626.

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We define and study a new family of Banach spaces, the J ames-Schreier spaces, cre- ated by combining key properties in the definitions of two important classical Banach spaces, namely James' quasi-reflexive space and Schreier's space. We explore both the Banach space and Banach algebra theory of these spaces. The new spaces inherit aspects of both parent spaces: our main results are that the J ames-Schreier spaces each have a shrinking basis, do not embed in a Banach space with an unconditional basis, and each of their closed, infinite-dimensional subspaces contains a copy of Co. As Banach se

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29

Wilkins, Timothy John Digby. "Spectral characterisations in non-associative algebras." Thesis, University of Cambridge, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243002.

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30

Kilgour, Christopher Edward. "Radical convolution algebras." Thesis, University of Cambridge, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319998.

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31

Esslamzadeh, Gholam Hossein. "Banach algebra structure and amenability of a class of matrix algebras with applications." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0002/NQ29033.pdf.

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32

Das, Bata Krishna. "Quantum stochastic analysis in Banach space and operator space." Thesis, Lancaster University, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.660115.

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33

Lawson, Paul David. "Ideals in Banach algebras and notions of amenability." Thesis, University of Leeds, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.491742.

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This thesis investigates Banach algebras, mainly focusing on the area of amenability of Banach algebras, and particularly studying the properties of approximately amenable Banach algebras. Before this is discussed, we generalise a result of Read [14] to do with prime ideals of Banach algebras. Chapter 1 contains the necessary background material we shall need from the areas of Banach spaces, Banach algebras and locally convex algebras. We look at tensor products of Banach and Fn5chet algebras, and outline the basic theory of amenability of Banach algebras. --------------- - ---_..._-----------

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34

Pinto, Dominic Luiz. "Convolution semigroups, and primes in radical Banach algebras." Thesis, University of Leeds, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.435784.

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35

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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36

Adamo, Maria Stella. "Representable functionals and derivations on Banach quasi *-algebras." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4117.

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Locally convex quasi *-algebras, in particular Banach quasi *-algebras, have been deeply investigated by many mathematicians in the last decades in order to describe quantum physical phenomena (see \cite{ankar, ankar1, Ant1, Bag2, Bag6, Frag3,ino, ino1,kschm,Trap3,FragCt}). Banach quasi *-algebras constitute the framework of this thesis. They form a special family of locally convex quasi *-algebras, whose topology is generated by a single norm, instead of a separating family of seminorms (see, for instance, \cite{Bag1,Bag4,Bag5,btt_meas}). The first part of the work concerns the study of r

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37

D'Alessandro, S. "POLYNOMIAL ALGEBRAS AND SMOOTH FUNCTIONS IN BANACH SPACES." Doctoral thesis, Università degli Studi di Milano, 2014. http://hdl.handle.net/2434/244407.

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According to the fundamental Stone-Weierstrass theorem, if X is a finite dimensional real Banach space, then every continuous function on the unit ball B_X can be uniformly approximated by polynomials. For infinite dimensional Banach spaces the statement of the Stone-Weierstrass Theorem is false, even if we replace continuous functions by the uniformly continuous ones (which is a natural condition that coincides with continuity in the finite dimensional setting): in fact, on every infinite-dimensional Banach space X there exists a uniformly continuous real function not approximable by continuo

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38

Panova, Olga. "Real Gelfand-Mazur algebras /." Online version, 2006. http://dspace.utlib.ee/dspace/bitstream/10062/117/1/panovaolga.pdf.

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39

Ali, Abdullah Khalifa Saeed. "Some topics in the theory of Banach function algebras." Thesis, University of Nottingham, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338490.

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40

Pham, Hung Le. "The functions of homomorphisms and derivations from Banach algebras." Thesis, University of Leeds, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.421451.

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41

Young, Matthew. "The structure of spectrally bounded operators on Banach algebras." Thesis, Queen's University Belfast, 2016. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709866.

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42

Cushing, David. "Homological properties of Banach and C*-algebras of continuous fields." Thesis, University of Newcastle upon Tyne, 2015. http://hdl.handle.net/10443/3024.

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One concern in the homological theory of Banach algebras is the identification of projective algebras and projective closed ideals of algebras. Besides being of independent interest, this question is closely connected to the continuous Hochschild cohomology. In this thesis we give necessary and sufficient conditions for the left projectivity and biprojectivity of Banach algebras defined by locally trivial continuous fields of Banach algebras. We identify projective C*-algebras A defined by locally trivial continuous fields U = fW, (At)t2W,Qg such that each C*-algebra At has a strictly positive

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43

Pedersen, Thomas Vils. "Banach algebras of functions on the circle and the disc." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338209.

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44

Benjamin, Ronalda Abigail Marsha. "Continuity of Drazin and generalized Drazin inversion in Banach algebras." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019.1/79878.

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45

Falco, Benavent Francisco Javier. "Complex approximation and fibers of Banach algebras of analytic functions." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1478016863252231.

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46

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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47

Neale, Daniel Lloyd. "Topics in automatic continuity for banach and other complete metrizable algebras." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616117.

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48

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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49

Santos, Elisa Regina dos 1984. "A equação de Daugavet para polinômios em espaços de Banach." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307318.

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Orientador: Jorge Tulio Ascui Mujica<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-21T23:57:51Z (GMT). No. of bitstreams: 1 Santos_ElisaReginados_D.pdf: 2025728 bytes, checksum: 9a431cb6242382a2edc9a78d9a7467e4 (MD5) Previous issue date: 2013<br>Resumo: O resumo poderá ser visualizado no texto completo da tese digital<br>Abstract: The abstract is available with the full electronic document<br>Doutorado<br>Matematica<br>Doutor em Matemática

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50

Martini, Alessio. "Algebras of differential operators on Lie groups and spectral multipliers." Doctoral thesis, Scuola Normale Superiore, 2010. http://hdl.handle.net/11384/85663.

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Let (X, μ) be a measure space, and let L1, . . . ,Ln be (possibly unbounded) selfadjoint operators on L2(X, μ), which commute strongly pairwise, i.e., which admit a joint spectral resolution E on Rn. A joint functional calculus is then defined via spectral integration: for every Borel function m : Rn → C, m(L) = m(L1, . . . ,Ln) = ∫ Rn m(λ) dE(λ) is a normal operator on L2(X, μ), which is bounded if and only if m - called the joint spectral multiplier associated to m(L) - is (E-essentially) bounded. However, the abstract theory of spectral integrals does not tackle the following probl

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