Skip to content. | Skip to navigation

Personal tools

Theme for TIFR Centre For Applicable Mathematics, Bangalore


You are here: Home / Academic / Course / MTH-106.4 Functional Analysis

MTH-106.4 Functional Analysis

Normed Linear Spaces, Banach spaces, continuous linear functional, dual spaces.

Hahn-Banach theorem, applications of Baire Category Theorem: open mapping, closed graph and uniform boundedness theorems.

Weak, weak * topologies, Banach- Alaoglu Theorem, reflexivity.

Hilbert spaces, Reisz representation theorem, Adjoint, Hermitian, Normal, unitary operators, Compact operators. Spectral theorem for Compact Hermitian operators