Nonlinear Functional Analysis In Banach Spaces And Banach Algebras

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Nonlinear Functional Analysis In Banach Spaces And Banach Algebras

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Author : Aref Jeribi
language : en
Publisher: CRC Press
Release Date : 2015-08-14

Nonlinear Functional Analysis In Banach Spaces And Banach Algebras written by Aref Jeribi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with Mathematics categories.

Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices w

Linear And Nonlinear Functional Analysis With Applications

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Author : Philippe G. Ciarlet
language : en
Publisher: SIAM
Release Date : 2013-10-10

Linear And Nonlinear Functional Analysis With Applications written by Philippe G. Ciarlet and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-10 with Mathematics categories.

This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.

Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces

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Author : Simeon Reich
language : en
Publisher: Imperial College Press
Release Date : 2005

Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces written by Simeon Reich and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments.

Nonlinear Differential Equations Of Monotone Types In Banach Spaces

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Author : Viorel Barbu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-01

Nonlinear Differential Equations Of Monotone Types In Banach Spaces written by Viorel Barbu 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 2010-01-01 with Mathematics categories.

This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.

Nonlinear Functional Analysis

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Author : Jacob T. Schwartz
language : en
Publisher: CRC Press
Release Date : 1969

Nonlinear Functional Analysis written by Jacob T. Schwartz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.

Nonlinear Functional Analysis

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Author : Klaus Deimling
language : en
Publisher: Courier Corporation
Release Date : 2013-10-09

Nonlinear Functional Analysis written by Klaus Deimling and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-09 with Mathematics categories.

This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985 edition.

An Introduction To Banach Space Theory

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Author : Robert E. Megginson
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-10-09

An Introduction To Banach Space Theory written by Robert E. Megginson 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 1998-10-09 with Mathematics categories.

This book is an introduction to the general theory of Banach spaces, designed to prepare the reader with a background in functional analysis that will enable him or her to tackle more advanced literature in the subject. The book is replete with examples, historical notes, and citations, as well as nearly 500 exercises.

Geometric Properties Of Banach Spaces And Nonlinear Iterations

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Author : Charles Chidume
language : en
Publisher: Springer
Release Date : 2008-12-21

Geometric Properties Of Banach Spaces And Nonlinear Iterations written by Charles Chidume and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-21 with Mathematics categories.

The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces”. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities (?) and (??) have to be developed.

A Primer Of Nonlinear Analysis

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Author : Antonio Ambrosetti
language : en
Publisher: Cambridge University Press
Release Date : 1995-03-09

A Primer Of Nonlinear Analysis written by Antonio Ambrosetti 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 1995-03-09 with Mathematics categories.

This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.

Banach Space Theory

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Author : Marián Fabian
language : en
Publisher: Springer
Release Date : 2010-12-15

Banach Space Theory written by Marián Fabian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-15 with Mathematics categories.

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.