Jordan Operator Algebras
by Harald Hanche-Olsen, Erling Størmer
Publisher: Pitman 1984
Number of pages: 216
This book serves as an introduction to Jordan algebras of operators on Hilbert spaces and their abstract counterparts. It aims to develop the theory of Jordan operator algebras to a point from which most of the theory of C*- and von Neumann algebras can be generalized to Jordan algebras in a natural way.
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by Leif Mejlbro - BookBoon
Functional analysis examples. From the table of contents: Hilbert spaces; Fourier series; Construction of Hilbert spaces; Orthogonal projections and complements; Weak convergence; Operators on Hilbert spaces, general; Closed operations.
by 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.
by Ivan F Wilde
From the table of contents: Introduction; The spaces S and S'; The spaces D and D'; The Fourier transform; Convolution; Fourier-Laplace Transform; Structure Theorem for Distributions; Partial Differential Equations; and more.
by G. Jungman - Los Alamos National Laboratory
Lecture notes on operator algebras. From the table of contents: Structure Theory I; von Neumann Algebras; States and Representations; Structure Theory II; Matrices; Automorphism Groups; Extensions; K-Theory; Nuclear C* Algebras.