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Normed Spaces. Banach Spaces
Inner Product Spaces. Hilbert Spaces
Fundamental Theorems for Normed and Banach Spaces
Further Applications: Banach Fixed Point Theorem
Further Applications: Approximation Theory
Spectral Theory of Linear Operators in Normed, Spaces
Compact Linear Operators on Normed Spaces and Their Spectrum.
Spectral Theory of Bounded Self-Adjoint Linear Operators
Unbounded Linear Operators in Hilbert Space
Unbounded Linear Operators in Quantum Mechanics
Appendix 1. Some Material for Review and Reference
Appendix 2. Answers to Odd-Numbered Problems.
Appendix 3. References.