Nonlinear Functional Analysis in Banach Spaces and Banach Algebras PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Nonlinear Functional Analysis in Banach Spaces and Banach Algebras PDF full book. Access full book title Nonlinear Functional Analysis in Banach Spaces and Banach Algebras by Aref Jeribi. Download full books in PDF and EPUB format.
Author: Aref Jeribi
Publisher: CRC Press
ISBN: 1498733891
Category : Mathematics
Languages : en
Pages : 369
Get Book Here
Book Description
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
Author: Aref Jeribi
Publisher: CRC Press
ISBN: 1498733891
Category : Mathematics
Languages : en
Pages : 369
Get Book Here
Book Description
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
Author: Marián Fabian
Publisher: Springer Science & Business Media
ISBN: 1441975152
Category : Mathematics
Languages : en
Pages : 820
Get Book Here
Book Description
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.
Author: Klaus Deimling
Publisher: Springer Science & Business Media
ISBN: 3662005476
Category : Mathematics
Languages : en
Pages : 465
Get Book Here
Book Description
topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods.
Author: Julian Lopez-Gomez
Publisher: CRC Press
ISBN: 1420035509
Category : Mathematics
Languages : en
Pages : 281
Get Book Here
Book Description
This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators. Appealing to a broad audience, it contains many important contributions to linear algebra, linear functional analysis, nonlinear functional analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and cut across a variety of mathematical fields.
Author: Philippe G. Ciarlet
Publisher: SIAM
ISBN: 1611972582
Category : Mathematics
Languages : en
Pages : 847
Get Book Here
Book Description
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.
Author: Nikolaos S. Papageorgiou
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111288323
Category : Mathematics
Languages : en
Pages : 1003
Get Book Here
Book Description
The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.
Author: Jacob T. Schwartz
Publisher: CRC Press
ISBN: 9780677015002
Category : Mathematics
Languages : en
Pages : 248
Get Book Here
Book Description
Author: Antonio Ambrosetti
Publisher: Cambridge University Press
ISBN: 9780521485739
Category : Mathematics
Languages : en
Pages : 184
Get Book Here
Book Description
This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
Author: Simeon Reich
Publisher: Imperial College Press
ISBN: 1860945759
Category : Mathematics
Languages : en
Pages : 374
Get Book Here
Book Description
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.
Author: Marian Fabian
Publisher: Springer Science & Business Media
ISBN: 1475734808
Category : Mathematics
Languages : en
Pages : 455
Get Book Here
Book Description
This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.
