Author | Pedersen, Gert K. author |
---|---|
Title | Analysis Now [electronic resource] / by Gert K. Pedersen |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1989 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1007-8 |
Descript | XIV, 280 p. online resource |
1 General Topology -- 1.1. Ordered Sets -- 1.2. Topology -- 1.3. Convergence -- 1.4. Continuity -- 1.5. Separation -- 1.6. Compactness -- 1.7. Local Compactness -- 2 Banach Spaces -- 2.1. Normed Spaces -- 2.2. Category -- 2.3. Dual Spaces -- 2.4. Seminormed Spaces -- 2.5. w*-Compactness -- 3 Hilbert Spaces -- 3.1. Inner Products -- 3.2. Operators on Hilbert Space -- 3.3. Compact Operators -- 3.4. The Trace -- 4 Spectral Theory -- 4.1. Banach Algebras -- 4.2. The Gelfand Transform -- 4.3. Function Algebras -- 4.4. The Spectral Theorem, I -- 4.5. The Spectral Theorem, II -- 4.6. Operator Algebra -- 4.7. Maximal Commutative Algebras -- 5 Unbounded Operators -- 5.1. Domains, Extensions, and Graphs -- 5.2. The Cayley Transform -- 5.3. Unlimited Spectral Theory -- 6 Integration Theory -- 6.1. Radon Integrals -- 6.2. Measurability -- 6.3. Measures -- 6.4. LP-Aspaces -- 6.5. Duality Theory -- 6.6. Product Integrals -- List of Symbols