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Introduction to Functional Analysis by University of Leeds
This PDF book covers the following topics related to Functional Analysis :Basics of Metric Spaces, Basics of Linear Spaces, Orthogonality, Duality of Linear Spaces, Fourier Analysis, Operators, Spectral Theory, Compactness, The spectral theorem for compact normal operators, Banach and Normed Spaces, Measure Theory, Integration, Functional Spaces, Fourier Transform, Advances of Metric Spaces.
Author(s): Vladimir V. Kisil, School of Mathematics, University of Leeds
213 Pages 
Introduction to Functional Analysis by Daniel Daners
This PDF book covers the following topics related to Functional Analysis : The Axiom of Choice and Zorn’s Lemma, Banach Spaces, Banach algebras and the Stone-Weierstrass Theorem, Hilbert Spaces, Linear Operators, Duality, Spectral Theory.
Author(s): Daniel Daners, School of Mathematics and Statistics, University of Sydney
123 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 ETH Zurich
This note covers the following topics: Principles of Functional Analysis, The Weak and Weak Topologies, Fredholm Theory, Spectral Theory, Unbounded Operators, Semigroups of Operators.
Author(s): Theo Buhler and Dietmar A. Salamon, ETH Zurich
427 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