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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
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
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
This note explains the following topics: Banach Spaces, Gelfand Theory and C* algebras, The Spectral Theorem, Positive elements of a C* algebra and Homomorphisms.
Author(s): Ivan F Wilde
72 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
This note covers the following topics: Metric and Normed Spaces, Continuous Functions, The Contraction Mapping Theorem, Topological Spaces, Banach Spaces, Hilbert Spaces, Fourier Series, Bounded Linear Operators on a Hilbert Space, The Spectrum of Bounded Linear Operators, Linear Differential Operators and Green's Functions, Distributions and the Fourier Transform, Measure Theory and Function Spaces, Differential Calculus and Variational Methods.
Author(s): John Hunter and Bruno Nachtergaele
NA Pages
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 Microlocal Analysis
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Author(s): NA
NA Pages
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Author(s): NA
NA Pages
Holomorphic Methods in Analysis and Mathematical Physics (ps)
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Author(s): NA
NA Pages
Partial Differential Equations of Mathematical Physics
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NA Pages
Functional Analysis Douglas Arnold
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Author(s): NA
NA PagesAdvertisement
