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Springer Theory of Operator Algebras III - Springer Mathematical Sciences

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Description

Theory of Operator Algebras III is the third volume in Springer's Encyclopaedia of Mathematical Sciences series, offering comprehensive coverage of von Neumann algebras and operator theory. This scholarly work builds on the foundational theories initiated by Murray and von Neumann in the 1930s and 1940s, exploring self-adjoint unital subalgebras of bounded operators on Hilbert spaces and their properties under weak operator topology. The text examines von Neumann's bicommutant theorem, which establishes that a von Neumann algebra is closed in the weak operator topology if and only if it equals the commutant of its commutant. Designed for advanced mathematics students and researchers, this volume provides rigorous treatment of factors, which are von Neumann algebras with trivial centres, and their role in non-commutative geometry. Part of the esteemed Encyclopaedia of Mathematical Sciences series from Springer, this book serves as an essential reference for those studying operator algebras and their applications in functional analysis.

Key Features

Theory of Operator Algebras III covers von Neumann algebras, a fundamental concept in functional analysis initiated in the 1930s and 1940s by Murray and von Neumann.

Explores self-adjoint unital subalgebras of bounded operators on Hilbert spaces and their closure properties under weak operator topology.

Examines von Neumann's bicommutant theorem and its role in characterising von Neumann algebras and their structural properties.

Discusses factors as von Neumann algebras with trivial centres, essential structures in non-commutative geometry and operator theory.

Part of Springer's Encyclopaedia of Mathematical Sciences subseries on Operator Algebras and Non-Commutative Geometry.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
01 December 2010
Listed Since
20 September 2010

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