Introductory Functional Analysis with Applications

Metric Spaces.

Normed Spaces;

Banach Spaces.

Inner Product Spaces;

Hilbert Spaces.

Fundamental Theorems for Normed and Banach Spaces.

Further Applications: Banach Fixed Point Theorem.

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.

Appendices.

References.

Index.