Functional Analysis by Roman Vershynin

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 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