
Functional Analysis
by Feng Tian, Palle E.T. Jorgensen
Publisher: arXiv 2010
Number of pages: 98
Description:
Notes from a course taught by Palle Jorgensen in the fall semester of 2009. The course covered central themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.
Download or read it online for free here:
Download link
(670KB, PDF)
Similar books
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.
(13653 views)
An Introduction to Hilbert Module Approach to Multivariable Operator Theoryby Jaydeb Sarkar - arXiv
An introduction of Hilbert modules over function algebras. The theory of Hilbert modules is presented as combination of commutative algebra, complex geometry and Hilbert spaces and its applications to the theory of n-tuples of commuting operators.
(9020 views)
Jordan Operator Algebrasby Harald Hanche-Olsen, Erling Størmer - Pitman
Introduction to Jordan algebras of operators on Hilbert spaces and their abstract counterparts. It develops the theory of Jordan operator algebras to a point from which the theory of C*- and von Neumann algebras can be generalized to Jordan algebras.
(16097 views)
Introduction to Functional Analysisby Vladimir V. Kisil - University of Leeds
Contents: 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; etc.
(15930 views)