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Thursday, August 13, 2020 | History

3 edition of Non-archimedean linear operators and applications found in the catalog.

Non-archimedean linear operators and applications

by Toka Diagana

  • 215 Want to read
  • 5 Currently reading

Published by Nova Science, Gazelle [distributor] in Hauppauge, N.Y, Lancaster .
Written in English

    Subjects:
  • Linear operators,
  • Hilbert space,
  • Banach spaces

  • Edition Notes

    Includes bibliographical references.

    StatementToka Diagana
    Classifications
    LC ClassificationsQA329.2 .D53 2008
    The Physical Object
    Paginationxiii, 92 p. ;
    Number of Pages92
    ID Numbers
    Open LibraryOL25040398M
    ISBN 101604564946
    ISBN 109781604564945
    LC Control Number2009294707
    OCLC/WorldCa213307442

    Also, the present volume explores the unique concept of using fields of p-adic numbers and their corresponding non-Archimedean analysis, a p-adic solution of paradoxes in the foundations of quantum mechanics, and especially the famous Einstein-Podolsky-Rosen paradox to create an epistemological framework for scientific use. We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. Several examples are given. Non-Archimedean normal operators Cited by: 9.

    This chapter discusses topics in non-archimedean mathematics. Neither Leibniz nor his immediate successors were able to establish a rational framework within which this claim could be substantiated and (with rare exceptions) the attempt was abandoned by later generations, who followed the lines laid down by Cauchy and simplicityhsd.com by: 4. P-adic Analysis. Dynamics in One Non-Archimedean Variable. Book Review. An Introduction to Classical and p-Adic Theory of Linear Operators and Applications. Book Review. Integration of One-forms on P-adic Analytic Spaces. Book Review. p-adic Analysis Compared with Real.

    Computational Recipes of Linear and Non-Linear Singular Integral Equations and Relativistic Mechanics in Engineering and Applied Science. Problems, Solutions and Applications. Volume 2. Theoretical and Applied Mathematics, Applied Mathematics, Mathematics Non-Archimedean Linear Operators and Applications. Mathematics Research. This book is focused on the theory of linear operators on non-archimedean Banach spaces. It is to some extent a sequel of the authors recent work on linear operators on non-archimedean Banach Title: Professor & Department Chair, .


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Non-archimedean linear operators and applications by Toka Diagana Download PDF EPUB FB2

Provides the reader with a presentation of investigations on operator theory over non-Archimedean Banach and Hilbert spaces.

This book includes, non-Archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions of linear operators and one-parameter families of bounded linear operators on free branch spaces. This self-contained book provides the reader with a comprehensive presentation of recent investigations on operator theory over non-Archimedean Banach and Hilbert spaces.

This includes, non-archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions of linear operators and one-paramter families of bounded linear.

Buy Non-Archimedean Linear Operators and Applications on simplicityhsd.com FREE SHIPPING on qualified ordersCited by: Presents investigations on operator theory over non-Archimedean Banach and Hilbert spaces.

This book includes, non-archimedean valued fields, bounded and unbounded linear operators, bilinear forms, Read. 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 simplicityhsd.com by: 4.

History and origin of the name of the Archimedean property. The concept was named by Otto Stolz (in the s) after the ancient Greek geometer and physicist Archimedes of Syracuse. The Archimedean property appears in Book V of Euclid's Elements as Definition 4.

Magnitudes are said to have a ratio to one another which can, when multiplied, exceed one another. 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 Non-archimedean linear operators and applications book 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 simplicityhsd.com: Springer International Publishing.

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.

Non-Archimedean Linear Operators and Applications. and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics 5/5(1).

Apr 07,  · Abstract. In this chapter we gather some basic facts about non-archimedean Banach spaces, with a special emphasis on the so-called p-adic Hilbert simplicityhsd.com the results here are well-known and will serve as background for the operator theory developed in later simplicityhsd.com: Toka Diagana, François Ramaroson.

This chapter introduces and studies unbounded operators on a non-archimedean Baanach space [equation]. Various properties of those operators will be discussed including their spectral theory. Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH Non-archimedean Linear Operators and Applications (Nova Science Publishers, Inc Author: Toka Diagana, François Ramaroson.

Description: 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.

The Hardcover of the Non-Archimedean Linear Operators and Applications by Toka Diagana at Barnes & Noble. FREE Shipping on $35 or more. Non-Archimedean Linear Operators and Applications. by Toka Diagana. Hardcover. USD Publish your book with B&simplicityhsd.com: Toka Diagana.

The paper considers the representation of non-degenerate bilinear forms on the non-Archimedean Hilbert space Eω × Eω by linear operators.

More precisely, upon making some suitable assumptions. Aug 02,  · Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators.

This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. Apr 07,  · 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 simplicityhsd.com: Springer International Publishing.

In particular, the spectral theory for linear operators plays a crucial role in several fields including quantum mechanics. Except for a few investigations such as the pioneer work of Vishik, there is no general spectral theory for linear operators in the non-archimedean setting.

Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators.

This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. On some non-Archimedean normed linear spaces I by Pierre Robert We give a simple characterization of bounded linear operators.

As applications of this important theorem we derive a result of A pseudo-valued space is a non-Archimedean pseudo-normed linear space over a. Aguayo, S. Navarro, and M. Nova -- Strict topologies on spaces of vector-valued continuous functions over non-Archimedean field; B.

Diarra -- Some subalgebras of the algebra of bounded linear operators of the one variable Tate algebra. This self-contained book presents an overview of fuzzy operator theory in mathematical analysis.

Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers.Feb 09,  · Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators.

This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry.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.