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Sunday, July 19, 2020 | History

8 edition of Ultrametric Banach algebras found in the catalog.

Ultrametric Banach algebras

by Alain Escassut

  • 374 Want to read
  • 4 Currently reading

Published by World Scientific in River Edge, NJ .
Written in English

    Subjects:
  • Banach algebras.

  • Edition Notes

    Includes bibliographical references (p. 265-267) and indexes.

    StatementAlain Escassut.
    Classifications
    LC ClassificationsQA326 .E79 2003
    The Physical Object
    Paginationxiii, 275 p. ;
    Number of Pages275
    ID Numbers
    Open LibraryOL3438817M
    ISBN 109812381945
    LC Control Number2005297859
    OCLC/WorldCa52425467

    Let K be an ultrametric complete field and let E be an ultrametric space. Let A be the Banach K-algebra of bounded continuous functions from E to K and let B be the Banach K-algebra of bounded. Cornerstone topics are covered first: namely, the theory of amenability, its historical context, and key properties of amenable groups. This introduction leads to the amenability of Banach algebras, which is the main focus of the book. Dual Banach algebras are given an in-depth exploration, as are Banach spaces, Banach homological algebra, and Brand: Springer-Verlag New York.

    Book Description. 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. If Y is a commutative algebra over an ultrametric field, endowed with an ultrametric norm ‖ ⋅ ‖: Y → R + such that ‖ x y ‖ ≤ ‖ x ‖ ‖ y ‖, x, y ∈ Y, then we say that Y is an ultrametric commutative algebra (with unit, if there exists an identity element in Y); if additionally (Y, ‖ ⋅ ‖) is a Banach ultrametric space Author: Janusz Brzdęk, Eliza Jabłońska, Jolanta Olko.

    A. Escassut and N. Maïnetti -- Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension; A. Escassut and J. Ojeda -- Survey on branched values and exceptional values for p-adic meromorphic functions; H. Glöckner -- Grobman-Hartman theorems for diffeomorphisms of Banach spaces over valued fields. As a consequence, this book will become a standard reference for professionals (especially in p-adic analysis, number theory and algebraic geometry) and will be welcomed as a textbook for advanced students of mathematics familiar with algebra and by:


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Ultrametric Banach algebras by Alain Escassut Download PDF EPUB FB2

Buy Ultrametric Banach Algebras on FREE SHIPPING on qualified orders Ultrametric Banach Algebras: Escassut, Alain: : Books Skip to main contentCited by: Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search Search.

Quick Search anywhere. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search Search. Advanced Search. 0 My Cart. Sign in. Skip main navigation. Close. 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.

Ultrametric Banach Algebra described above, it is at least pseudo-dense when either the norm is the spectral one, or the field is strongly valued [29]. Affinoid algebras form a large panel of commutative ultrametric -algebras [49]. Ultrametric Calkin algebras ; 1. The completely continuous linear operators ; 2.

Ultrametric Calkin algebras ; 3. Ultrametric ultraproducts of Banach spaces ; 4. A linear representation of the Calkin algebra when the Banach space 𝐸 is infinite dimensional of countable type ; 5.

Some additional remarks ; References Ultrametric Banach algebras [electronic resource] / Alain Escassut. Main author: Escassut, Alain. Corporate Author: Ebook Central Academic Complete., ProQuest (Firm) Format: eBook Online access: Connect to electronic book via Ebook Central.

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 Author: International Conference on P-adic Functional Analysis Nijmegen.

The Hahn-Banach subspaces of Banach spaces with base ; On metrically universal ultrametric spaces LV┬ and LW┬ ; Gelfand transform and spectral radius formulae for ultrametric Banach algebras ; A theorem on summability factors for regular methods in complete ultrametric fields ; Hilbert-like spaces over Krull.

Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis).

On the Classification of p-Adic UHF Banach Algebras. Baker Pages Ultrametric Analysis and Applications. All Volumes & Issues. Vol Issue 3, July ISSN: (Print) (Online) In this issue (6 articles) Review Articles. Print book: EnglishView all editions and formats Summary: This volume studies ultrametric Banach algebras with the help of topological considerations, properties from affinoid algebra, and circular filters which characterize absolute values on polynomials and make a nice tree structure.

Advances in Ultrametric Analysis About this Title. Alain Escassut, Université Clermont Auvergne, Aubiere, France, Cristina Perez-Garcia, Universidad de Cantabria, Santander, Spain and Khodr Shamseddine, University of Manitoba, Winnipeg, Canada, Editors. Publication: Contemporary Mathematics Publication Year: ; Volume ISBNs: (print); Author: Alain Escassut, Cristina Perez-Garcia, Khodr Shamseddine.

Multiplicative spectrum of ultrametric Banach algebras of continuous functions Alain Escassut, Nicolas Mainetti To cite this version: Alain Escassut, Nicolas Mainetti. Multiplicative spectrum of ultrametric Banach algebras of continuous functions.

Topology and. Banach algebras Jordan Bell @ Department of Mathematics, University of Toronto April 3, 1 Introduction This note is a collection of results on Banach algebras whose proofs do not require the machinery of integrating functions that take values in Banach spaces, and that do not require the algebra to be commutative.

Book Description 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. In this volume, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebra, and circular filters which characterize absolute values on polynomials and make a nice tree structure.

The Shilov boundary does exist for normed ultrametric algebras. Let K be an ultrametric complete field and let E be an ultrametric space. Let A be the Banach K-algebra of bounded continuous functions from E to K and let B be the Banach K-algebra of bounded uniformly continuous functions from E to l ideals and continuous multiplicative semi-norms on A (resp.

on B) are studied by defining relations of stickiness and contiguousness on ultrafilters Cited by: 3. Due to properties of the topological tensor product of ultrametric Banach spaces, the algebraic notion of coalgebra has a natural ultrametric counterpart.

An important class of ultrametric Banach coalgebras is provided by the spaces of continuous functions from a totally discontinuous compact group G with values in a complete ultrametric valued. This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject.

Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis and appreciates its relevance.5/5(2).

Advances In Ultrametric Analysis: 12th International Conference P-adic Functional Analysis JulyUniversity Of Manitoba, Winnipeg, Canada (contemporary Mathematics) by Khodr Shamseddine / / English / PDF.

In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers (or over a non-Archimedean complete normed field) that at the same time is also a Banach space, i.e.

a normed space and complete in the metric induced by the norm. The norm is required to satisfy ∀, ∈: ‖ ‖ ≤ ‖ ‖ ‖ ‖.The study of Banach algebras began in the twentieth century and originated from the observation that some Banach spaces show interesting properties when they can be supplied with an extra multiplication operation.

A standard exam-ple was the space of bounded linear operators on a Banach .The Paperback of the Advances in Ultrametric Analysis by Khodr Shamseddine at Barnes & Noble.

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