Edition: 2nd 1991 (Revised)
List price: $171.88
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $171.88
Copyright year: 1991
Publisher: McGraw-Hill Higher Education
Size: 6.50" wide x 9.50" long x 1.00" tall
|Topological Vector Space Introduction Separation properties Linear Mappings Finite-dimensional spaces Metrization Boundedness and continuity Seminorms and local convexity Quotient spaces Examples Exercises|
|Completeness Baire category The Banach-Steinhaus theorem The open mapping theorem The closed graph theorem Bilinear mappings Exercises|
|Convexity The Hahn-Banach theorems Weak topologies Compact convex sets Vector-valued integration Holomorphic functions Exercises|
|Duality in Banach Spaces The normed dual of a normed space Adjoints Compact operators Exercises|
|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|
|Distributions and Fourier Transforms|
|Test Functions and Distributions Introduction Test function spaces Calculus with distributions Localization Supports of distributions Distributions as derivatives Convolutions Exercises|
|Fourier Transforms Basic properties Tempered distributions Paley-Wiener theorems Sobolev's lemma Exercises|
|Applications to Differential Equations Fundamental solutions Elliptic equations Exercises|
|Tauberian Theory Wiener's theorem The prime number theorem The renewal equation Exercises|
|Banach Algebras and Spectral Theory|
|Banach Algebras Introduction Complex homomorphisms Basic properties of spectra Symbolic calculus The group of invertible elements Lomonosov's invariant subspace theorem Exercises|
|Commutative Banach Algebras Ideals and homomorphisms Gelfand transforms Involutions Applications to noncommutative algebras Positive functionals Exercises|
|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|
|Unbounded Operators Introduction Graphs and symmetric operators The Cayley transform Resolutions of the identity The spectral theorem Semigroups of operators Exercises|
|Compactness and Continuity|
|Notes and Comments|
|Bibliography List of Special Symbols|
|Table of Contents provided by Publisher. All Rights Reserved.|