Inicio > Matemáticas y ciencia > Matemáticas > Geometría > BANACH ALGEBRAS OF ULTRAMETRIC FUNCTIONS
BANACH ALGEBRAS OF ULTRAMETRIC FUNCTIONS

BANACH ALGEBRAS OF ULTRAMETRIC FUNCTIONS

ALAIN ESCASSUT

142,27 €
IVA incluido
Disponible
Editorial:
World Scientific Publishing Co Pte Ltd
Año de edición:
2022
Materia
Geometría
ISBN:
9789811251658
142,27 €
IVA incluido
Disponible
Añadir a favoritos

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.

Artículos relacionados

  • Seven Eyes Open
    Alexander J B Connor
    A study of the Revelation of Jesus Christ. (Why you will not burn in eternal torment and why it is more important than ever not to be spiritually lukewarm.)The final book of the New Testament, the “Revelation of Jesus Christ” is reinterpreted in this book that mixes college level abstract algebra with the scripture text of the Bible (the King James Version).Whether the interpre...
  • MATH DUDE’S QUICK AND DIRTY GUIDE T
    Jason Marshall
    ...
  • FUNCTION FIELD ARITHMETIC
    DINESH S THAKUR
     This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of ...
    Disponible

    219,34 €

  • Final Exam Review
    A. A. Frempong / AAFrempong
    Final Exam Review: Elementary Algebra covers the following: Signed Number and Real Number Operations; Order of Operations and Evaluation of Expressions; Exponential Notation and Rules of Exponents; Polynomial addition, subtraction, multiplication, and division; Solving First Degree Equations;Word Problems; Factoring Polynomials; Solving quadratic equations by factoring & applic...
    Disponible

    37,52 €

  • ADVANCED LINEAR ALGEBRA
    SHOU-TE CHANG
    Certain essential concepts in linear algebra cannot be fully explained in a first course. This is due to a lack of algebraic background for most beginning students. On the other hand, these concepts are taken for granted in most of the mathematical courses at graduate school level. This book will provide a gentle guidance for motivated students to fill the gap. It is not easy t...
    Disponible

    70,06 €

  • Matrix Completions, Moments, and Sums of Hermitian Squares
    Hugo J. Woerdeman / Mihály Bakonyi
    Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly developing area of mathematics and applications and gives complete proofs of many recently solved problems. With MATLAB codes and more than 200 exercises, the book is ideal for a special...
    Disponible

    141,42 €

Otros libros del autor

  • VALUE DISTRIBUTION IN P-ADIC ANALYSIS
    ALAIN ESCASSUT
     The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromo...
    Disponible

    244,43 €

  • P-ADIC ANALYTIC FUNCTIONS
    ALAIN ESCASSUT
    P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field.Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the wh...
    Disponible

    154,44 €