The conical measure associated with a commutative C-algebra

The conical measure associated with a commutative C-algebra

Given a Hilbert subspace H of a locally convex space E, and a commutative C*-algebra A of operators on H, one associates with A in a canonical manner a conical measure µA on the set Hilb (E) of Hilbert subspaces of E. This conical measure, if localizable, represents intrinsically the diagonalisation...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Thomas, E. G. F.
Format: Buchkapitel
Sprache:eng
Schlagworte:
Closed Convex Cone
Finite Partition
Norm Topology
Pointwise Convergence
Strong Operator Topology
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Beschreibung
Zusammenfassung:Given a Hilbert subspace H of a locally convex space E, and a commutative C*-algebra A of operators on H, one associates with A in a canonical manner a conical measure µA on the set Hilb (E) of Hilbert subspaces of E. This conical measure, if localizable, represents intrinsically the diagonalisation of the algebra A in the space E. *** DIRECT SUPPORT *** A00J4419 00014
ISSN:0075-8434
1617-9692
DOI:10.1007/BFb0096681