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 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.
by Palle Jorgensen, Feng Tian - 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.
by Ola Bratteli, Derek W. Robinson - Springer
These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.
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).