Non Archimedean Functional Analysis

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Non Archimedean Functional Analysis

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Author : Arnoud C. M. van Rooij
language : en
Publisher:
Release Date : 1973

Non Archimedean Functional Analysis written by Arnoud C. M. van Rooij and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Functional analysis categories.

Nonarchimedean Functional Analysis

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Author : Peter Schneider
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Nonarchimedean Functional Analysis written by Peter Schneider and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exist nonzero locally convex vector spaces which do not have a single nonzero continuous linear form. Although much progress has been made to overcome this problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically complete field8. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted. Although I hope that thi8 text will also be useful to the experts as a reference my own motivation for giving that course and writing this book was different. I had the reader in mind who wants to use locally convex vector spaces in the applications and needs a text to quickly gra8p this theory.

Non Archimedean Analysis Quantum Paradoxes Dynamical Systems And Biological Models

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Author : Andrei Y. Khrennikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07

Non Archimedean Analysis Quantum Paradoxes Dynamical Systems And Biological Models written by Andrei Y. Khrennikov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.

N atur non facit saltus? This book is devoted to the fundamental problem which arises contin uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality. We pay our main attention to the role of number systems which are used, or may be used, in this process. We shall show that the picture of reality based on the standard (since the works of Galileo and Newton) methods of real analysis is not the unique possible way of presenting reality in a human brain. There exist other pictures of reality where other num ber fields are used as basic elements of a mathematical description. In this book we try to build a p-adic picture of reality based on the fields of p-adic numbers Qp and corresponding analysis (a particular case of so called non-Archimedean analysis). However, this book must not be considered as only a book on p-adic analysis and its applications. We study a much more extended range of problems. Our philosophical and physical ideas can be realized in other mathematical frameworks which are not obliged to be based on p-adic analysis. We shall show that many problems of the description of reality with the aid of real numbers are induced by unlimited applications of the so called Archimedean axiom.

Basic Non Archimedean Functional Analysis Over A Non Archimedean Field R C

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Author : Jaykov Foukzon
language : en
Publisher:
Release Date : 2022

Basic Non Archimedean Functional Analysis Over A Non Archimedean Field R C written by Jaykov Foukzon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.

Locally Convex Spaces Over Non Archimedean Valued Fields

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Author : C. Perez-Garcia
language : en
Publisher: Cambridge University Press
Release Date : 2010-01-07

Locally Convex Spaces Over Non Archimedean Valued Fields written by C. Perez-Garcia and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-07 with Mathematics categories.

Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.

Advances In P Adic And Non Archimedean Analysis

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Author : M. Berz
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-02-17

Advances In P Adic And Non Archimedean Analysis written by M. Berz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-17 with Mathematics categories.

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.

P Adic Function Analysis

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Author : Bayod
language : en
Publisher: CRC Press
Release Date : 2020-12-17

P Adic Function Analysis written by Bayod and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.

"Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. "

Ultrametric Functional Analysis

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Author : Bertin Diarra
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Ultrametric Functional Analysis written by Bertin Diarra and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

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.

Non Archimedean Operator Theory

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Author : Toka Diagana
language : en
Publisher: Springer
Release Date : 2016-04-07

Non Archimedean Operator Theory written by Toka Diagana and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-07 with Mathematics categories.

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.

P Adic Functional Analysis

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Author : W.H. Schikhof
language : en
Publisher: CRC Press
Release Date : 2020-11-26

P Adic Functional Analysis written by W.H. Schikhof and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Mathematics categories.

"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."