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Arens Multiplication and a Characterization of W*-Algebras

✍ Scribed by T. W. Palmer


Book ID
121208575
Publisher
American Mathematical Society
Year
1974
Tongue
English
Weight
192 KB
Volume
44
Category
Article
ISSN
0002-9939

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Arens multiplication on Banach algebras
✍ S. Maghsoudi; R. Nasr–Isfahani; A. Rejali πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 184 KB

Let S be a locally compact semigroup, let Ο‰ be a weight function on S, and let Ma(S, Ο‰) be the weighted semigroup algebra of S. Let L ∞ 0 (S; Ma(S, Ο‰)) be the C \* -algebra of all Ma(S, Ο‰)-measurable functions g on S such that g/Ο‰ vanishes at infinity. We introduce and study an Arens multiplication

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are considered as quasi \*-algebras and the problem of multiplying distributions is studied in terms of multiplication operators defined on a rigged Hilbert space.