I Functional Analysis

I  Functional Analysis

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics.

Author: Michael Reed

Publisher: Academic Press

ISBN: 9780080570488

Category: Mathematics

Page: 400

View: 473

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.
Categories: Mathematics

Introductory Functional Analysis

Introductory Functional Analysis

[25 Kolmogorov A.N. and Fomin S.V., Elements of the Theory of Functions and Functional Analysis. Volume 1: Metric and Normed Spaces. Graylock Press (Rochester, N.Y.) 1957. |26 Kolmogorov A.N. and Fomin S.V., Elements of the Theory of ...

Author: B.D. Reddy

Publisher: Springer Science & Business Media

ISBN: 9781461205753

Category: Mathematics

Page: 472

View: 673

Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is intended for use by senior undergraduates and graduates in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis will equally find this useful. Offers a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.
Categories: Mathematics

Geometric Nonlinear Functional Analysis

Geometric Nonlinear Functional Analysis

Geometric Nonlinear Functional Analysis Volume 1 Yoav Benyamini and Joram Lindenstrauss The book presents a systematic and unified study of geometric nonlinear functional analysis . This area has its classical roots in the beginning of ...

Author: Yoav Benyamini

Publisher: American Mathematical Soc.

ISBN: 0821869639

Category: Mathematics

Page: 488

View: 888

This book presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric measure theory, probability, classical analysis, combinatorics, and Banach space theory. The main theme of the book is the study of uniformly continuous and Lipschitz functions between Banach spaces (e.g., differentiability, stability, approximation, existence of extensions, fixed points, etc.). This study leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories. Many recent rather deep theorems and delicate examples are included with complete and detailed proofs. Challenging open problems are described and explained, and promising new research directions are indicated.
Categories: Mathematics

Applied Functional Analysis

Applied Functional Analysis

Hutchinson. [206, 269] RALL, L. B. (Ed.) (1971) Nonlinear Functional Analysis and Applications. Academic Press. [319] REED, M. & B. SIMON (1972) Methods of Modern Mathematical Physics, Volume 1: Functional A nalysis Academic Press.

Author: D.H. Griffel

Publisher: Courier Corporation

ISBN: 9780486141329

Category: Mathematics

Page: 390

View: 312

This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition.
Categories: Mathematics

Applied Nonlinear Functional Analysis

Applied Nonlinear Functional Analysis

1):1–69, 2000. S. Banach. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fund. ... Y. Benyamini and J. Lindenstrauss. Geometric Nonlinear Functional Analysis. Vol. 1, volume 48 of American ...

Author: Nikolaos S. Papageorgiou

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 9783110531831

Category: Mathematics

Page: 622

View: 238

The aim of this book is to provide a concise but complete 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. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis. Contents Basic Topology Measure Theory Basic Functional Analysis Banach Spaces of Functions and Measures Convex Functions – Nonsmooth Analysis Nonlinear Analysis
Categories: Mathematics

Functional Analysis

Functional Analysis

The book consists of three approximately equal parts : Chapters 1-5 are devoted to measure theory and the theory of integration ; fundamentals of functional analysis up to the theory of compact operators and basic principles of the ...

Author: Yurij M. Berezansky

Publisher: Springer Science & Business Media

ISBN: 3764353449

Category: Mathematics

Page: 426

View: 841

"Functional Analysis" is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more advanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.
Categories: Mathematics

Elements of the Theory of Functions and Functional Analysis

Elements of the Theory of Functions and Functional Analysis

PREFACE This book is the second volume of Elements of the Theory of Functions and Functional Analysis ( the first volume ... The content of Volumes 1 and 2 is approximately that of the course Analysis III given by A. N. Komogorov for ...

Author: Andre? Nikolaevich Kolmogorov

Publisher: Courier Corporation

ISBN: 0486406830

Category: Mathematics

Page: 288

View: 957

Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.
Categories: Mathematics

Algebraic Methods in Functional Analysis

Algebraic Methods in Functional Analysis

The Victor Shulman Anniversary Volume Ivan G. Todorov, Lyudmila Turowska ... [BL00] Y. Benyamini, J. Lindenstrauss, Geometric Nonlinear Functional Analysis, volume 1, American Mathematical Society, Providence, R.I., 2000.

Author: Ivan G. Todorov

Publisher: Springer Science & Business Media

ISBN: 9783034805025

Category: Mathematics

Page: 294

View: 860

This volume comprises the proceedings of the Conference on Operator Theory and its Applications held in Gothenburg, Sweden, April 26-29, 2011. The conference was held in honour of Professor Victor Shulman on the occasion of his 65th birthday. The papers included in the volume cover a large variety of topics, among them the theory of operator ideals, linear preservers, C*-algebras, invariant subspaces, non-commutative harmonic analysis, and quantum groups, and reflect recent developments in these areas. The book consists of both original research papers and high quality survey articles, all of which were carefully refereed. ​
Categories: Mathematics