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Von Neumann Representations on Self-Dual Hilbert W*-Moduli

โœ Scribed by Michael Frank

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
705 KB
Volume
145
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

This paper continues the investigations of [a]. VON NEUMANN algebras M of bounded operators on self-dual HILBERT W*-moduli X possessing a cyclic-separating element z in X are considered. The close relation of them to such special real subspaces X of X as treated in [4] is shown. Under the supposition that the underlying W*-algebra is commutative, a T O ~A -T A K E -SAKI type theorem is stated for VON NEUMANN algebras on self-dual HILBEET W*-moduli. The natural cone in X arising from the pair (M, 3 ~) is investigated and its properties are obtained.

๐Ÿ“œ SIMILAR VOLUMES

One-Parameter Groups Arising from Real S
One-Parameter Groups Arising from Real Subspaces of Self-Dual Hilbert W*-Moduli
โœ Michael Frank ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 851 KB

The purpose of this paper is to generalize the results of M. A. RIEFPEL and A. VAN ## DAELE [8, 30 1, 2,3] for HILBEET W\*-moduli over commutative W\*-Algebras. Some special real sub-@paces of such HXLBERT W\*-moduli and the related operators are investigated. Particularly, the relation is establ