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Functional Analysis(Teschl G)
This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. Topics covered includes: Banach and Hilbert spaces, Compact operators, The main theorems about Banach spaces, Bounded linear operators, Lebesgue integration, The Lebesgue spaces Lp, The Fourier transform, Interpolation, The Leray-Schauder mapping degree, The stationary Navier-Stokes equation and Monotone operators.
Author(s): Teschl G
NA Pages 
Introduction to Functional Analysis by Christian Potzsche
This note explains the following topics: basic structures, Topological structures and boundary value problems.
Author(s): Munich University of Technology
73 Pages
Functional analysis lecture notes
This note covers normed linear spaces, Banach spaces, Linear transformations, Integration, Hilbert spaces and fourier analysis.
Author(s): T B Ward, University of East Anglia
73 Pages
Functional Analysis by Alexander C. R. Belton
This note covers the following topics related to functional analysis: Normed Spaces, Linear Operators, Dual Spaces, Normed Algebras, Invertibility, Characters and Maximal Ideals.
Author(s): Alexander C. R. Belton
127 Pages
Functional Analysis by Christian Remling
This note explains the following topics: Metric and topological spaces, Banach spaces, Consequences of Baire's Theorem, Dual spaces and weak topologies, Hilbert spaces, Operators in Hilbert spaces, Banach algebras, Commutative Banach algebras, and Spectral Theorem.
Author(s): Christian Remling
123 Pages