說明 
1 online resource (xiii, 467 pages) : illustrations 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
系列 
Mathematics: theory & applications 

Mathematics (Boston, Mass.)

附註 
Includes bibliographical references (p. [451]458) and index 

Use copy Restrictions unspecified star MiAaHDL 

Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL 

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL 

digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL 

This monograph presents a complete and selfcontained solution to the longstanding problem of giving a geometric description of state spaces of C*algebras and von Neumann algebras, and of their Jordan algebraic analogs (JBalgebras and JBWalgebras). The material, which previously has appeared only in research papers and required substantial prerequisites for a reader's understanding, is made accessible here to a broad mathematical audience. Key features include: The properties used to describe state spaces are primarily of a geometric nature, but many can also be interpreted in terms of physics. There are numerous remarks discussing these connections * A quick introduction to Jordan algebras is given; no previous knowledge is assumed and all necessary background on the subject is given * A discussion of dynamical correspondences, which tie together Lie and Jordan structures, and relate the observables and the generators of time evolution in physics * The connection with Connes' notions of orientation and homogeneity in cones is explained * Chapters conclude with notes placing the material in historical context * Prerequisites are standard graduate courses in real and complex variables, measure theory, and functional analysis * Excellent bibliography and index In the authors' previous book, "State Spaces of Operator Algebras: Basic Theory, Orientations and C*products" (ISBN 0817638903), the role of orientations was examined and all the prerequisites on C* algebras and von Neumann algebras, needed for this work, were provided in detail. These requisites, as well as all relevant definitions and results with reference back to State Spaces, are summarized in an appendix, further emphasizing the selfcontained nature of this work. "Geometry of State Spaces of Operator Algebras" is intended for specialists in operator algebras, as well as graduate students and 

Description based on print version record 
鏈接 
Print version: Alfsen, Erik M. (Erik Magnus), 1930 Geometry of state spaces of operator algebras. Boston : Birkhäuser, ©2003 (DLC) 2002034257 (OCoLC)50560356

主題 
Quantum logic


Axiomatic set theory


Lattice theory


Jordan algebras


Functional analysis


Axiomatic set theory. fast (OCoLC)fst00824491


Functional analysis. fast (OCoLC)fst00936061


Jordan algebras. fast (OCoLC)fst00983985


Lattice theory. fast (OCoLC)fst00993426


Quantum logic. fast (OCoLC)fst01085115


Operatoralgebra. swd


Zustandsraum. swd


Electronic books

Alt Author 
Shultz, Frederic W., 1945

