2004•Graduate studies in mathematicsRequires access
Functional Analysis
Yuli Eidelman, Vitali Milman, Antonis Tsolomitis
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Abstract
Hilbert spaces and basic operator theory: Linear spaces normed spaces first examples Hilbert spaces The dual space Bounded linear operators Spectrum. Fredholm theory of compact operators Self-adjoint operators Functions of operators spectral decomposition Basics of functional analysis: Spectral theory of unitary operators The fundamental theorems and the basic methods Banach algebras Unbounded self-adjoint and symmetric operators in $H$ Solutions to exercises Bibliography Symbols index Subject index.