OPERATOR THEORY I

Review of basic notions from Banach and Hilbert space theory.

Bounded linear operators: Spectral theory of compact, Self adjoint and normal operators, Sturm-Liouville problems, Green�s function, Fredholm integral operators.

Unbound linear operators on Hilbert spaces: Symmetric and self adjoint operators, Spectral theory. Banach algebras Gelfand representation theorem. C* algebras, Gelfand � Naimark � Segal construction.  

Books


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Last updated: 17 May 2024