Logo

Introduction to Functional Analysis

Small book cover: Introduction to Functional Analysis

Introduction to Functional Analysis
by

Publisher: University of Leeds
Number of pages: 111

Description:
Contents: Motivating Example - Fourier Series; Basics of Linear Spaces; Orthogonality; Fourier Analysis; Duality of Linear Spaces; Operators; Spectral Theory; Compactness; The spectral theorem for compact normal operators; Applications to integral equations; Banach and Normed Spaces; Measure Theory; Integration; Functional Spaces; Fourier Transform.

Home page url

Download or read it online for free here:
Download link
(1.2MB, PDF)

Similar books

Book cover: Linear Functional AnalysisLinear Functional Analysis
by - Macquarie University
An introduction to the basic ideas in linear functional analysis: metric spaces; connectedness, completeness and compactness; normed vector spaces; inner product spaces; orthogonal expansions; linear functionals; linear transformations; etc.
(11196 views)
Book cover: Banach Spaces of Analytic FunctionsBanach Spaces of Analytic Functions
by - Prentice-Hall
A classic of pure mathematics, this advanced text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.
(4106 views)
Book cover: Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanicsLecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
by - arXiv
A graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization.
(7991 views)
Book cover: Functional AnalysisFunctional Analysis
by - Lancaster University
These lecture notes are an expanded version of a set written for a course given to final-year undergraduates at the University of Oxford. A thorough understanding of Banach and Hilbert spaces is a prerequisite for this material.
(7610 views)