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Functional Analysis (topological vector space version)
These notes are based on lectures given at King's College London as part of the Mathematics MSc programme. Topics covered includes: Topological Spaces, Nets, Product Spaces, Separation, Vector Spaces, Topological Vector Spaces, Locally Convex Topological Vector Spaces, Banach Spaces, The Dual Space of a Normed Space and Frechet Spaces.
Author(s): Dr I F Wilde
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 Roman Vershynin
This PDF covers the following topics related to Functional Analysis : Banach and Hilbert spaces, Bounded linear operators, Main principles of functional analysis, Compact operators, Elements of spectral theory, Self-adjoint operators on Hilbert space.
Author(s): Roman Vershynin, Department of Mathematics, University of Michigan
131 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