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Showing 1 to 15 of 15 for “"Banach Algebras"”.
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Banach algebras on groups and semigroups
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. …
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Discontinuous homomorphisms from Banach algebras of operators
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 …
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The Gelfand Theorem for Commutative Banach Algebras
<p>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.</p>
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Closed Ideals in Banach Algebras of Analytic Functions Satisfying a Lipschitz Condition
Made available in DSpace on 2014-12-14T13:09:32Z (GMT). No. of bitstreams: 1 7709091.pdf: 980223 bytes, checksum: afab88bb017c48a014899c7f54aaba9a (MD5) Previous issue date: 1976
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ΗΜΙΠΡΩΤΕΣ ΑΛΓΕΒΡΕΣ BANACH
… OF THIS THESIS IS THE STUDY OF THE SEMIPRIME BANACH ALGEBRAS. MORE SPECIFICALLY THERE ARE EXAMINED PROPERTIES OF THE MINIMAL IDEALS OF SOCLE, OF THE MAXIMAL (MODULAR) IDEALS AND REPRESENTATIONS OF SEMIPRIME BANACH ALGEBRAS. THIS STUDY IS APPROACHED VIA SINGLE ELEMENTS WHICH ACT COMPACTLY. IT …
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The strict typology : theory, generalizations and applications
… bounded holomorphic functions and multipliers of Banach Algebras.
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Jordan homomorphisms and derivations on algebras of measurable operators
… invertibility preserving maps between unital algebras are Jordan homomorphisms. This question is still unanswered, and the progress that has been made has mainly been in the context of Banach algebras, including C*-algebras and von Neumann algebras. Let M be a von Neumann algebra with a …
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Smooth K-theory and locally convex algebras
… periodicity) to a class of locally convex algebras vastly larger then the one of Banach algebras. We find various ways to represent periodicity by explicit formulae. For finite Laurent loops formulae yielding finite matrices to represent the associated Ko classes are obtained. The methods …
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Finitely generated function algebras
The theory of function algebras has been an active field of research over the past two decades and its coming of age has been heralded by the appearance within the last twelve months of three textbooks devoted entirely to them, namely the books by Browder, Leibowitz and Gamelin. One of the …
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Closability of differential operators and subjordan operators
… spectral synthesis in a certain class of Banach algebras and extensions to the complex domain are also indicated.
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Methods of Complex Function Theory in Some Problems of Analysis: KMS States and Corona Problem
… which both depend on holomorphic functions and Banach Algebras. Firstly, the prerequisite background knowledge common to both such as holomorphic functions, Banach spaces and algebras, and module theory is provided. Secondly, KMS states arising on Cuntz-Krieger algebras are described. A …
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Spectral Preserver Problems in Uniform Algebras
… much interest in characterizing maps between Banach algebras that preserve a certain equation or family of elements. There is a rich history in such problems that assume the map to be linear, so called linear preserver problems. More recently, there has been an interest in not assuming the map …
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Spectral Preserver Problems in Uniform Algebras
… much interest in characterizing maps between Banach algebras that preserve a certain equation or family of elements. There is a rich history in such problems that assume the map to be linear, so called linear preserver problems. More recently, there has been an interest in not assuming the map …
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On Quantum Effects of Vector Potentials and Generalizations of Functional Analysis
… notions from functional analysis are extended to Banach algebras and completions of Grassmann algebras. A notion of analyticity is given to the functions of a single Banach algebra variable. This notion allows the introduction of holomorphic polynomials, power series, and rational functions. With …
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Análisis de la perturbación de la inversa de Drazin de matrices, elementos en anillos y operadores acotados en espacios de Banach
… [97, 98, 102]. Para elementos de un álgebra de Banach en [79] se halló una cota superior de En el marco de la teoría de operadores la perturbación de la inversa de Drazin ha sido estudiada en [14, 17]. En esta linea han trabajado varios autores, citemos entre otros a S. L. Campbell, N. Castro, …