MOMENTAN AUSVERKAUFT
Über dieses Produkt
Product Identifiers
PublisherMcGraw-Hill Higher Education
ISBN-100070542368
ISBN-139780070542365
eBay Product ID (ePID)28167
Product Key Features
Number of Pages448 Pages
LanguageEnglish
Publication NameFunctional Analysis
SubjectFunctional Analysis
Publication Year1991
FeaturesRevised
TypeTextbook
Subject AreaMathematics
AuthorWalter Rudin
SeriesInternational Series in Pure and Applied Mathematics
FormatHardcover
Dimensions
Item Height1.2 in
Item Weight22.8 Oz
Item Length11 in
Item Width8 in
Additional Product Features
Edition Number2
Intended AudienceCollege Audience
LCCN90-005677
Dewey Edition20
Dewey Decimal515/.7
Edition DescriptionRevised edition
Table Of ContentPreface. 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
SynopsisPart 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 NumberQA320.R83 1991
Bewertungen und Rezensionen
Relevanteste Rezensionen
- 16. Okt. 2022
concise and clear
Exactly as expected, I like the feel of the book, it's got these thin pages, 'bible paper', but I haven't had any problems with ripping or anything. I've found this book to be a useful reference on distribution theory and Fourier analysis (Part II of the book) and would buy again. Enough has been said about Rudin on the internet, I'll just add that his books are great for reference once you've already encountered the material before, or as a challenging, general, and 'straight to the point' introduction if you haven't.Bestätigter Kauf: JaArtikelzustand: Neu
