Banach Algebras Of Ultrametric Functions

Download Banach Algebras Of Ultrametric Functions PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9811251673
Total Pages : 323 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!


Book Synopsis Banach Algebras Of Ultrametric Functions by : Alain Escassut

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.

Ultrametric Banach Algebras

Download Ultrametric Banach Algebras PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9812775609
Total Pages : 291 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!


Book Synopsis Ultrametric Banach Algebras by : Alain Escassut

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. KrasnerOCoTate algebras are characterized among Krasner algebras, affinoid algebras, and ultrametric Banach algebras. Given a KrasnerOCoTate 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 . Contents: Tree Structure; Ultrametric Absolute Values; Hensel Lemma; Circular Filters; Analytic Elements; Holomorphic Properties on Infraconnected Sets; Analytic Elements on Classic Partitions; Holomorphic Functional Calculus; Definition of Affinoid Algebras; Jacobson Radical of Affinoid Algebras; Separable Fields; KrasnerOCoTate Algebras; Universal Generators in Tate Algebras; Associated Idempotents; and other topics. Readership: Graduate students and researchers in ultrametric functional analysis, number theory and dynamical systems."

Functional Analysis

Download Functional Analysis PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3031275373
Total Pages : 462 pages
Book Rating : 4.0/5 (312 download)

DOWNLOAD NOW!


Book Synopsis Functional Analysis by : Joseph Muscat

Download or read book Functional Analysis written by Joseph Muscat and published by Springer Nature. This book was released on with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ultrametric Functional Analysis

Download Ultrametric Functional Analysis PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821833200
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Ultrametric Functional Analysis by : Wilhelmus Hendricus Schikhof

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.

Metric Generalizations of Banach Algebras

Download Metric Generalizations of Banach Algebras PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Metric Generalizations of Banach Algebras by : Wiesław Żelazko

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:

Advances in Ultrametric Analysis

Download Advances in Ultrametric Analysis PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470434911
Total Pages : 290 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Advances in Ultrametric Analysis by : Alain Escassut

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.

Ultrametric Banach Algebras

Download Ultrametric Banach Algebras PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9812381945
Total Pages : 291 pages
Book Rating : 4.8/5 (123 download)

DOWNLOAD NOW!


Book Synopsis Ultrametric Banach Algebras by : Alain Escassut

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.

Introduction to Banach Algebras, Operators, and Harmonic Analysis

Download Introduction to Banach Algebras, Operators, and Harmonic Analysis PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521535847
Total Pages : 338 pages
Book Rating : 4.5/5 (358 download)

DOWNLOAD NOW!


Book Synopsis Introduction to Banach Algebras, Operators, and Harmonic Analysis by : H. Garth Dales

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

General Theory of Banach Algebras

Download General Theory of Banach Algebras PDF Online Free

Author :
Publisher : Krieger Publishing Company
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (97 download)

DOWNLOAD NOW!


Book Synopsis General Theory of Banach Algebras by : Charles Earl Rickart

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:

Introduction to Banach Spaces and Algebras

Download Introduction to Banach Spaces and Algebras PDF Online Free

Author :
Publisher : Oxford University Press
ISBN 13 : 0199206538
Total Pages : 380 pages
Book Rating : 4.1/5 (992 download)

DOWNLOAD NOW!


Book Synopsis Introduction to Banach Spaces and Algebras by : Graham Allan

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. --

Several Complex Variables and Banach Algebras

Download Several Complex Variables and Banach Algebras PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387225862
Total Pages : 256 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!


Book Synopsis Several Complex Variables and Banach Algebras by : Herbert Alexander

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.

Function Spaces

Download Function Spaces PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1000104729
Total Pages : 444 pages
Book Rating : 4.0/5 (1 download)

DOWNLOAD NOW!


Book Synopsis Function Spaces by : Krzysztof Jarov

Download or read book Function Spaces written by Krzysztof Jarov and published by CRC Press. This book was released on 2020-08-26 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.

Ultrametric Functional Analysis

Download Ultrametric Functional Analysis PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821836846
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Ultrametric Functional Analysis by : Bertin Diarra

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.

Calkin Algebras and Algebras of Operators on Banach SPates

Download Calkin Algebras and Algebras of Operators on Banach SPates PDF Online Free

Author :
Publisher : Routledge
ISBN 13 : 1351462776
Total Pages : 160 pages
Book Rating : 4.3/5 (514 download)

DOWNLOAD NOW!


Book Synopsis Calkin Algebras and Algebras of Operators on Banach SPates by : Caradus

Download or read book Calkin Algebras and Algebras of Operators on Banach SPates written by Caradus and published by Routledge. This book was released on 2017-10-19 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.

Banach Algebras on Semigroups and on Their Compactifications

Download Banach Algebras on Semigroups and on Their Compactifications PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821847759
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Banach Algebras on Semigroups and on Their Compactifications by : Harold G. Dales

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)."

Tensor Products of Banach Algebras

Download Tensor Products of Banach Algebras PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Tensor Products of Banach Algebras by : Bernard R. Gelbaum

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:

Malgrange Theorem for Nuclearly Entire Functions of Bounded Type on a Banach Space

Download Malgrange Theorem for Nuclearly Entire Functions of Bounded Type on a Banach Space PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Malgrange Theorem for Nuclearly Entire Functions of Bounded Type on a Banach Space by : Chaitan P. Gupta

Download or read book Malgrange Theorem for Nuclearly Entire Functions of Bounded Type on a Banach Space written by Chaitan P. Gupta and published by . This book was released on 1968 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: