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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 
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 and its applications
Functional analysis plays an important role in the applied sciences as well as in mathematics itself. These notes are intended to familiarize the student with the basic concepts, principles andmethods of functional analysis and its applications, and they are intended for senior undergraduate or beginning graduate students. Topics covered includes: Normed and Banach spaces, Continuous maps, Differentiation, Geometry of inner product spaces , Compact operators and Approximation of compact operators.
Author(s): Amol Sasane
92 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