Ultrametric Banach Algebras

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

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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.

Advances in Ultrametric Analysis

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470434911
Total Pages : 298 pages
Book Rating : 4.4/5 (74 download)

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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 298 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

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Author :
Publisher : World Scientific
ISBN 13 : 9814487244
Total Pages : 291 pages
Book Rating : 4.8/5 (144 download)

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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 2003-03-04 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. Krasner-Tate algebras are characterized among Krasner algebras, affinoid algebras, and ultrametric Banach algebras. Given a Krasner-Tate 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.

Ultrametric Functional Analysis

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

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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.

p-adic Functional Analysis

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Publisher : CRC Press
ISBN 13 : 1000145913
Total Pages : 419 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis p-adic Functional Analysis by : W.H. Schikhof

Download or read book p-adic Functional Analysis written by W.H. Schikhof and published by CRC Press. This book was released on 2020-11-26 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."

Analysis, Probability, Applications, and Computation

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Publisher : Springer
ISBN 13 : 3030044599
Total Pages : 540 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Analysis, Probability, Applications, and Computation by : Karl‐Olof Lindahl

Download or read book Analysis, Probability, Applications, and Computation written by Karl‐Olof Lindahl and published by Springer. This book was released on 2019-04-29 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Växjö, Sweden. The papers, written by the best international experts, are devoted to recent results in mathematics with a focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on the current research in mathematical analysis and its various interdisciplinary applications.

Topics in Analysis and its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1402021283
Total Pages : 468 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Topics in Analysis and its Applications by : Grigor A. Barsegian

Download or read book Topics in Analysis and its Applications written by Grigor A. Barsegian and published by Springer Science & Business Media. This book was released on 2006-02-05 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets.

Advances in Algebra and Combinatorics

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Publisher : World Scientific
ISBN 13 : 9812790004
Total Pages : 384 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Advances in Algebra and Combinatorics by : K. P. Shum

Download or read book Advances in Algebra and Combinatorics written by K. P. Shum and published by World Scientific. This book was released on 2008 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a compilation of lectures on algebras and combinatorics presented at the Second International Congress in Algebra and Combinatorics. It reports on not only new results, but also on open problems in the field. The proceedings volume is useful for graduate students and researchers in algebras and combinatorics. Contributors include eminent figures such as V Artamanov, L Bokut, J Fountain, P Hilton, M Jambu, P Kolesnikov, Li Wei and K Ueno.

Non-Archimedean Operator Theory

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Publisher : Springer
ISBN 13 : 331927323X
Total Pages : 163 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Non-Archimedean Operator Theory by : Toka Diagana

Download or read book Non-Archimedean Operator Theory written by Toka Diagana and published by Springer. This book was released on 2016-04-07 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized and used as an important tool in the study of the spectral theory of non-Archimedean operators. Explicit descriptions of the spectra of some operators are worked out. Moreover, detailed background materials on non-Archimedean valued fields and free non-Archimedean Banach spaces are included for completeness and for reference. The readership of the book is aimed toward graduate and postgraduate students, mathematicians, and non-mathematicians such as physicists and engineers who are interested in non-Archimedean functional analysis. Further, it can be used as an introduction to the study of non-Archimedean operator theory in general and to the study of spectral theory in other special cases.

Advances in Algebra and Combinatorics - Proceedings of the Second International Congress in Algebra and Combinatorics

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Author :
Publisher : World Scientific
ISBN 13 : 9812790012
Total Pages : 384 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Advances in Algebra and Combinatorics - Proceedings of the Second International Congress in Algebra and Combinatorics by : K. P. Shum

Download or read book Advances in Algebra and Combinatorics - Proceedings of the Second International Congress in Algebra and Combinatorics written by K. P. Shum and published by World Scientific. This book was released on 2008 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a compilation of lectures on algebras and combinatorics presented at the Second International Congress in Algebra and Combinatorics. It reports on not only new results, but also on open problems in the field. The proceedings volume is useful for graduate students and researchers in algebras and combinatorics. Contributors include eminent figures such as V Artamanov, L Bokut, J Fountain, P Hilton, M Jambu, P Kolesnikov, Li Wei and K Ueno.

Advances in $p$-adic and Non-Archimedean Analysis

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821847406
Total Pages : 281 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advances in $p$-adic and Non-Archimedean Analysis by : M. Berz

Download or read book Advances in $p$-adic and Non-Archimedean Analysis written by M. Berz and published by American Mathematical Soc.. This book was released on 2010-02-17 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Tenth International Conference on $p$-adic and Non-Archimedean Analysis, held at Michigan State University in East Lansing, Michigan, on June 30-July 3, 2008. This volume contains a kaleidoscope of papers based on several of the more important talks presented at the meeting. It provides a cutting-edge connection to some of the most important recent developments in the field. Through a combination of survey papers, research articles, and extensive references to earlier work, this volume allows the reader to quickly gain an overview of current activity in the field and become acquainted with many of the recent sub-branches of its development.

Function Spaces in Modern Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852515
Total Pages : 256 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Function Spaces in Modern Analysis by : Krzysztof Jarosz

Download or read book Function Spaces in Modern Analysis written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 2011-07-18 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Sixth Conference on Function Spaces, which was held from May 18-22, 2010, at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.

p-adic Functional Analysis

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Publisher : CRC Press
ISBN 13 : 9780824782542
Total Pages : 350 pages
Book Rating : 4.7/5 (825 download)

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Book Synopsis p-adic Functional Analysis by : N. De Grande-De Kimpe

Download or read book p-adic Functional Analysis written by N. De Grande-De Kimpe and published by CRC Press. This book was released on 1999-07-07 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 872 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:

P-Adic Functional Analysis

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Publisher : CRC Press
ISBN 13 : 9780203908143
Total Pages : 340 pages
Book Rating : 4.9/5 (81 download)

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Book Synopsis P-Adic Functional Analysis by : A.K. Katsaras

Download or read book P-Adic Functional Analysis written by A.K. Katsaras and published by CRC Press. This book was released on 2001-07-03 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.

Studia Universitatis Babeș-Bolyai

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Publisher :
ISBN 13 :
Total Pages : 550 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Studia Universitatis Babeș-Bolyai by : Universitatea "Babeș-Bolyai".

Download or read book Studia Universitatis Babeș-Bolyai written by Universitatea "Babeș-Bolyai". and published by . This book was released on 2004 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin of the Belgian Mathematical Society, Simon Stevin

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Bulletin of the Belgian Mathematical Society, Simon Stevin by :

Download or read book Bulletin of the Belgian Mathematical Society, Simon Stevin written by and published by . This book was released on 2007 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: