Introduction to Functional Analysis
by Vladimir V. Kisil
Publisher: University of Leeds 2021
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
Banach Spaces of Analytic Functionsby enneth Hoffman - 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.
(8778 views)
Functional Analysis Lecture Notesby T.B. Ward - University of East Anglia
Lecture notes for a 3rd year undergraduate course in functional analysis. By the end of the course, you should have a good understanding of normed vector spaces, Hilbert and Banach spaces, fixed point theorems and examples of function spaces.
(11360 views)
Operators on Hilbert Spaceby John Erdos - 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.
(9522 views)
Lectures on Cyclic Homologyby D. Husemoller - 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.
(9323 views)