Unbounded Non-Commutative Integration: 7 - Rilegato

Jurzak, J. P.

 
9789027718150: Unbounded Non-Commutative Integration: 7
Rilegato
ISBN 10: 9027718156 ISBN 13: 9789027718150
Casa editrice: D Reidel Pub Co, 1985

Sinossi

Non-commutative integration has its origin in the classical papers of Murray and von Neumann on rings of operators, and was introduced because of unsolved problems in unitary group representations and the elucidation of various aspects of quantum-mechanical formalism, together with formal calculus in such operator rings. These papers emphasized the interest in 1I -factors and pOinted out the remarkable behavior and 1 algebraic structure of the set of all unbounded closed operators a. ffiliated to such rings. The absence of power tools in functional analysis - mainly settled in their definitive form by A. Grothendieck around 1950-195- together with the pathological manipulation of algebraic operations on closed operators in Hilbert spaces, has limited ring-theory to the study of algebras of bounded operators with the main objective the difficult question of classifica­ tion up to isomorphisms of factors. This material has permitted a rigorous study of discrete systems in statistical mechanics but appears to be less convincing in other domains of physics (in the algebraic approach to field theory, for example). The striking role of Hamiltonians, Schrodinger operators and Lie group invariant properties in such areas of physics disappears in the so­ called C*-approach.

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Contenuti

Examples and Observations.- 1: Main Spaces.- 2: Density Theorems.- 3: Technical Properties of the Domain.- 4: Elementary Operations.- 5: Gelfand Transformation.- 6: Cofinal Central Systems and Derivations.- 7: Notion of Representation: The G.N.S. Case.- 8: The State Space.- 9: G-Invariance and G-Traces.- 10: Other Commutation Theorems.- 11: On Strong and Ultrastrong Topologies.- References.

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Editore
D Reidel Pub Co
Data di pubblicazione
1985
Lingua
Inglese
ISBN 10 
9027718156
ISBN 13 
9789027718150
Rilegatura
Copertina rigida
Numero di pagine
211
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Hamburg
Germania

Altre edizioni note dello stesso titolo

9789401088138: Unbounded Non-Commutative Integration: 7

Edizione in evidenza

ISBN 10:  9401088136 ISBN 13:  9789401088138
Casa editrice: Springer, 2011
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