Introduction to Linear Operator Theory

Banach spaces Hilbert space Banach space Radon measures Banach-Algebra Holomorphic function Compact operator Complete metric space Subharmonic function Von Neumann algebra Linear Operator Theory Invariant subspace Bounded Linear Operators Calkin Algebra Closed Subspace Commutative Banach Algebra Complex Banach Space Compact Hausdorff Space Fredholm Operator Hermitian Element Hermitian Operator Invariant Subspaces and Some structure Theorems Inner Products on Linear Spaces Riesz Operator The Numerical Range for Bounded Linear Operators on Hilbert Spaces Spectral Mapping Theorem Semi-inner Product Separable Hilbert Space Spectral Representation of Operators on Hilbert Spaces