Logo

Introduction to Functional Analysis

Small book cover: Introduction to Functional Analysis

Introduction to Functional Analysis
by

Publisher: University of Leeds
Number of pages: 166

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.

Download or read it online for free here:
Download link
(1.3MB, PDF)

Similar books

Book cover: Operators on Hilbert SpaceOperators on Hilbert Space
by - King's College London
These are notes for a King's College course to fourth year undergraduates and MSc students. They cover the theoretical development of operators on Hilbert space up to the spectral theorem for bounded selfadjoint operators.
(9906 views)
Book cover: Functional AnalysisFunctional Analysis
by - University of Vienna
This free manuscript provides a brief introduction to Functional Analysis. The text covers basic Hilbert and Banach space theory including Lebesgue spaces and their duals (no knowledge about Lebesgue integration is assumed).
(14348 views)
Book cover: Functional Analysis with ApplicationsFunctional Analysis with Applications
by - arXiv
This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.
(11486 views)
Book cover: Lectures on Cyclic HomologyLectures on Cyclic Homology
by - Tata Institute of Fundamental Research
Contents: Exact Couples and the Connes Exact Couple; Abelianization and Hochschild Homology; Cyclic Homology and the Connes Exact Couple; Cyclic Homology and Lie Algebra Homology; Mixed Complexes, the Connes Operator B; and more.
(9688 views)