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 Ivan F. Wilde - King's College, London
These notes are based on lectures given as part of a mathematics MSc program. The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; etc.
by 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.
by Gerald Teschl - 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).
by 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.