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Title: Functional Analysis
Department: Mathematics
Author: Prof. P.D. Srivastava
University: IIT Kharagpur
Type: WebLink
Abstract: COURSE OUTLINE

It is a first level course on Functional Analysis. The motto is to familiarize the students with basic concepts, principles and methods of Functional analysis and its applications.

CONTENTS : Metric spaces with example, Complete metric spaces , Separable Metric Space , Compact sets, Normed & Banach spaces , Convergence , Bounded linear functionals and operators , Dual spaces , Refexive Spaces,Adjoint Operator, Inner Product Space and Hilbert Spaces with example, Projection theorem , Orthonormal sets and sequences ,Total Orthonormal Sets , Riesz Representation theorem, Self adjoint, Unitary and Normal operators, Hilbert -Adjoint Operator,The Hahn Banach Extension theorem, Uniform boundedness theorem (The Banach Steinhaus theorem ), Open mapping theorem and Closed graph theorem .
 
   
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