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Concerning Completeness and Abelian Semigroups

โœ Scribed by J. C. Muzio


Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
120 KB
Volume
22
Category
Article
ISSN
0044-3050

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Let (X, โ€ข ) be a Banach space. We study asymptotically bounded quasi constricted representations of an abelian semigroup IP in L(X), i. e. representations (Tt) tโˆˆIP which satisfy the following conditions: i) lim tโ†’โˆž Ttx < โˆž for all x โˆˆ X. ii) X 0 := {x โˆˆ X : lim tโ†’โˆž Ttx = 0} is closed and has finite