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Author :
Publisher :
ISBN 13 : 9814487244
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Ultrametric Banach Algebras written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alain Escassut
Publisher : World Scientific
ISBN 13 : 9811251673
Total Pages : 323 pages
Book Rating : 4.8/5 (112 download)
Download or read book Banach Algebras Of Ultrametric Functions written by Alain Escassut and published by World Scientific. This book was released on 2022-04-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to various kind of functions: uniformly continuous functions, Lipschitz functions, strictly differentiable functions, defined in a metric space. Analytic elements in an algebraically closed complete field (due to M Krasner) are recalled with most of their properties linked to T-filters and applications to their Banach algebras, and to the ultrametric holomorphic functional calculus, with applications to spectral properties. The multiplicative semi-norms of Krasner algebras are characterized by circular filters with a metric and an order that are examined.The definition of the theory of affinoid algebras due to J Tate is recalled with all the main algebraic properties (including Krasner-Tate algebras). The existence of idempotents associated to connected components of the multiplicative spectrum is described.
Author : Alain Escassut
Publisher : American Mathematical Soc.
ISBN 13 : 1470434911
Total Pages : 290 pages
Book Rating : 4.4/5 (74 download)
Download or read book Advances in Ultrametric Analysis written by Alain Escassut and published by American Mathematical Soc.. This book was released on 2018-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation of -adic series, rational maps on the projective line over , non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, -modules with a convex base, non-compact Trace class operators and Schatten-class operators in -adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in Levi-Civita fields, ultrametric spectra of commutative non-unital Banach rings, classes of non-Archimedean Köthe spaces, -adic Nevanlinna theory and applications, and sub-coordinate representation of -adic functions. Moreover, a paper on the history of -adic analysis with a comparative summary of non-Archimedean fields is presented. Through a combination of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.
Author : Alain Escassut
Publisher : World Scientific
ISBN 13 : 9812381945
Total Pages : 291 pages
Book Rating : 4.8/5 (123 download)
Download or read book Ultrametric Banach Algebras written by Alain Escassut and published by World Scientific. This book was released on 2003 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras. In uniform Banach algebras, the spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel is a maximal ideal. Two different such seminorms can have the same kernel. KrasnerTate algebras are characterized among Krasner algebras, affinoid algebras, and ultrametric Banach algebras. Given a KrasnerTate algbebra A=K{t}[x], the absolute values extending the Gauss norm from K{t} to A are defined by the elements of the Shilov boundary of A.
Author : Wilhelmus Hendricus Schikhof
Publisher : American Mathematical Soc.
ISBN 13 : 0821833200
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)
Download or read book Ultrametric Functional Analysis written by Wilhelmus Hendricus Schikhof and published by American Mathematical Soc.. This book was released on 2003 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research articles based on lectures given at the Seventh International Conference on $p$-adic Functional Analysis. The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, Banach-Hopf algebras, Cauchy theory of Levi-Civita fields, finite differences, weighted means, $p$-adic dynamical systems, and non-Archimedean probability theory and stochastic processes. The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of $p$-adic groups.
Author : Barry Edward Johnson
Publisher : American Mathematical Soc.
ISBN 13 : 0821818279
Total Pages : 96 pages
Book Rating : 4.8/5 (218 download)
Download or read book Cohomology in Banach Algebras written by Barry Edward Johnson and published by American Mathematical Soc.. This book was released on 1972 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let [Fraktur capital]A be a Banach algebra, [Fraktur capital]X a two-sided Banach [Fraktur capital] A-module, and define the cohomology groups [italic]H[italic superscript]n([Fraktur capital]A, [Fraktur capital]X) from the complex of bounded cochains in exact analogy to the classical (algebraic) case. This article gives an introduction to several aspects of the resulting theory.
Author : H. Garth Dales
Publisher : Cambridge University Press
ISBN 13 : 9780521535847
Total Pages : 338 pages
Book Rating : 4.5/5 (358 download)
Download or read book Introduction to Banach Algebras, Operators, and Harmonic Analysis written by H. Garth Dales and published by Cambridge University Press. This book was released on 2003-11-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Author : Mahmoud Filali
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110602415
Total Pages : 264 pages
Book Rating : 4.1/5 (16 download)
Download or read book Banach Algebras and Applications written by Mahmoud Filali and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-08-24 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banach algebras is a multilayered area in mathematics with many ramifications. With a diverse coverage of different schools working on the subject, this proceedings volume reflects recent achievements in areas such as Banach algebras over groups, abstract harmonic analysis, group actions, amenability, topological homology, Arens irregularity, C*-algebras and dynamical systems, operator theory, operator spaces, and locally compact quantum groups.
Author : Bertin Diarra
Publisher : American Mathematical Soc.
ISBN 13 : 0821836846
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)
Download or read book Ultrametric Functional Analysis written by Bertin Diarra and published by American Mathematical Soc.. This book was released on 2005 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by leading mathematicians, this proceedings volume reflects the program of the Eighth International Conference on $p$-adic Functional Analysis held at Blaise Pascal University (Clermont-Ferrand, France). Articles in the book offer a comprehensive overview of research in the area. A wide range of topics are covered, including basic ultrametric functional analysis, topological vector spaces, measure and integration, Choquet theory, Banach and topological algebras,analytic functions (in particular, in connection with algebraic geometry), roots of rational functions and Frobenius structure in $p$-adic differential equations, and $q$-ultrametric calculus. The material is suitable for graduate students and researchers interested in number theory, functionalanalysis, and algebra.
Author : Herbert Alexander
Publisher : Springer Science & Business Media
ISBN 13 : 0387225862
Total Pages : 256 pages
Book Rating : 4.3/5 (872 download)
Download or read book Several Complex Variables and Banach Algebras written by Herbert Alexander and published by Springer Science & Business Media. This book was released on 2008-01-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. This third edition contains new material on maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the Stone-Weierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls. The authors have also included a new chapter commenting on history and recent developments, as well as an updated and expanded reading list.
Author : Hwai-Chiuan Wang
Publisher : CRC Press
ISBN 13 : 1000153304
Total Pages : 220 pages
Book Rating : 4.0/5 (1 download)
Download or read book Homogeneous Banach Algebras written by Hwai-Chiuan Wang and published by CRC Press. This book was released on 2020-11-25 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines some aspects of homogeneous Banach algebras and related topics to illustrate various methods used in several classes of group algebras. It guides the reader toward some of the problems in harmonic analysis such as the problems of factorizations and closed subalgebras.
Author : Harold G. Dales
Publisher : American Mathematical Soc.
ISBN 13 : 0821847759
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Banach Algebras on Semigroups and on Their Compactifications written by Harold G. Dales and published by American Mathematical Soc.. This book was released on 2010 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 966 (end of volume)."
Author : Bernard R. Gelbaum
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tensor Products of Banach Algebras written by Bernard R. Gelbaum and published by . This book was released on 1958 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wiesław Żelazko
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)
Download or read book Metric Generalizations of Banach Algebras written by Wiesław Żelazko and published by . This book was released on 1964 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Graham Allan
Publisher : Oxford University Press
ISBN 13 : 0199206538
Total Pages : 380 pages
Book Rating : 4.1/5 (992 download)
Download or read book Introduction to Banach Spaces and Algebras written by Graham Allan and published by Oxford University Press. This book was released on 2011 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text begins by giving the basic theory of Banach spaces, in particular discussing dual spaces and bounded linear operators. It establishes forms of the theorems that are the pillars of functional analysis, including the Banach-Alaoglu, Hahn-Banach, uniform boundedness, open mapping, and closed graph theorems. There are applications to Fourier series and to operators on Hilbert spaces. --
Author : Charles Earl Rickart
Publisher : Krieger Publishing Company
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (97 download)
Download or read book General Theory of Banach Algebras written by Charles Earl Rickart and published by Krieger Publishing Company. This book was released on 1974 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ernst Albrecht
Publisher : Walter de Gruyter
ISBN 13 : 3110802007
Total Pages : 576 pages
Book Rating : 4.1/5 (18 download)
Download or read book Banach Algebras 97 written by Ernst Albrecht and published by Walter de Gruyter. This book was released on 2012-05-07 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
