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Functional Analysis by Walter Rudin 1991 Mathematical Analysis HCDJ 2nd Edition
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eBay item number:357881987043
Item specifics
- Condition
- Personalize
- No
- Book Title
- Functional Analysis
- Era
- 1990s
- Signed
- No
- Narrative Type
- Nonfiction
- Personalized
- No
- Original Language
- Bengali
- Genre
- Mathematics & Sciences
- Intended Audience
- Adults
- Country of Origin
- United States
- Vintage
- Yes
- Personalization Instructions
- N/a
- ISBN
- 9780070542365
About this product
Product Identifiers
Publisher
McGraw-Hill Higher Education
ISBN-10
0070542368
ISBN-13
9780070542365
eBay Product ID (ePID)
28167
Product Key Features
Number of Pages
448 Pages
Language
English
Publication Name
Functional Analysis
Subject
Functional Analysis
Publication Year
1991
Features
Revised
Type
Textbook
Subject Area
Mathematics
Series
International Series in Pure and Applied Mathematics
Format
Hardcover
Dimensions
Item Height
1.2 in
Item Weight
22.8 Oz
Item Length
11 in
Item Width
8 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
90-005677
Dewey Edition
20
Dewey Decimal
515/.7
Edition Description
Revised edition
Table Of Content
Preface. PART ONE: GENERAL THEORY 1. Topological Vector Space Introduction Separation properties Linear Mappings Finite-dimensional spaces Metrization Boundedness and continuity Seminorms and local convexity Quotient spaces Examples Exercises 2. Completeness Baire category The Banach-Steinhaus theorem The open mapping theorem The closed graph theorem Bilinear mappings Exercises 3. Convexity The Hahn-Banach theorems Weak topologies Compact convex sets Vector-valued integration Holomorphic functions Exercises 4. Duality in Banach Spaces The normed dual of a normed space Adjoints Compact operators Exercises 5. Some Applications A continuity theorem Closed subspaces ofL p -spaces The range of a vector-valued measure A generalized Stone-Weierstrass theorem Two interpolation theorems Kakutani's fixed point theorem Haar measure on compact groups Uncomplemented subspaces Sums of Poisson kernels Two more fixed point theorems Exercises PART TWO: DISTRIBUTIONS AND FOURIER TRANSFORMS 6. Test Functions and Distributions Introduction Test function spaces Calculus with distributions Localization Supports of distributions Distributions as derivatives Convolutions Exercises 7. Fourier Transforms Basic properties Tempered distributions Paley-Wiener theorems Sobolev's lemma Exercises 8. Applications to Differential Equations Fundamental solutions Elliptic equations Exercises 9. Tauberian Theory Wiener's theorem The prime number theorem The renewal equation Exercises PART THREE: BANACH ALGEBRAS AND SPECTRAL THEORY 10. Banach Algebras Introduction Complex homomorphisms Basic properties of spectra Symbolic calculus The group of invertible elements Lomonosov's invariant subspace theorem Exercises 11. Commutative Banach Algebras Ideals and homomorphisms Gelfand transforms Involutions Applications to noncommutative algebras Positive functionals Exercises 12. Bounded Operators on a Hillbert Space Basic facts Bounded operators A commutativity theorem Resolutions of the identity The spectral theorem Eigenvalues of normal operators Positive operators and square roots The group of invertible operators A characterization of B*-algebras An ergodic theorem Exercises 13. Unbounded Operators Introduction Graphs and symmetric operators The Cayley transform Resolutions of the identity The spectral theorem Semigroups of operators Exercises Appendix A: Compactness and Continuity Appendix B: Notes and Comments Bibliography List of Special Symbols Index
Synopsis
Part of the Student Series in Advanced Mathematics, this text is written for graduate courses in functional analysis. Used in modern investigations in analysis and applied mathematics, it includes Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem.
LC Classification Number
QA320.R83 1991
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