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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 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 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
This notes provides a brief introduction to Real and Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.
Author(s): Gerald Teschl
314 Pages
FUNCTIONAL ANALYSIS Douglas N. Arnold References
This note covers the following topics: Vector spaces and their topology, Linear Operators and Functionals, The Open Mapping Theorem, Uniform Boundedness Principle, The Closed Range Theorem, Weak Topologies, Compact Operators and their Spectra, General Spectral Theory.
Author(s): Douglas N. Arnold
36 Pages
This note covers the following topics: Sets, The Real Numbers, Sequences, Series, Functions, Power Series and The elementary fun.
Author(s): Ivan F Wilde
130 Pages
Von Neumann algebras and local quantum theory Notes
This note explains the following topics:Operator Algebras, Linear functionals on an operator algebra, Kaplansky's Density Theorem, Positive continuous linear functionals, Disjoint representations of a C* -algebra, The Tomita-Takesaki Modular operator, The canonical commutation relations, The algebraic approach to quantum theory, Local quantum theory, The charged Bose field and its sectors.
Author(s): Ivan F Wilde
88 Pages
Functional Analysis(Garrett P)
This note explains the following topics: Schwartz' distributions, Bounded operators on Hilbert spaces, Unbounded operators on Hilbert spaces, Fourier transforms, tempered distributions.
Author(s): Paul Garrett
NA Pages
Introduction to Microlocal Analysis
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NA Pages
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NA Pages
Holomorphic Methods in Analysis and Mathematical Physics (ps)
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NA Pages
Functional Analysis Douglas Arnold
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