Functional Analysis

Abstract The article contains sections titled: Banach Space and Operators on Them Vector and Normed Spaces Operators on Banach Spaces Spectra of Closed Operators Hilbert Spaces Hilbert‐Space Geometry Direct Sums and Tensor Products Bounded Operators on Hilbert Spaces Hermitean Operators Unitary Operators Compact Operators Schatten Classes Unbounded Operators Operator Adjoint and Closure Normal and Self‐Adjoint Operators Tensor Products of Operators Self‐Adjoint Extensions Spectral Theory of Self‐Adjoint Operators Functional Calculus Spectral Theorem More about Spectral Properties Groups of Unitary Operators Some Applications in Quantum Mechanics Schrödinger Operators Scattering Theory Glossary