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The Banach algebras generated by representations of abelian semigroups

✍ Scribed by H. S. Mustafayev

Publisher
Springer Vienna
Year
2011
Tongue
English
Weight
231 KB
Volume
165
Category
Article
ISSN
0026-9255

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Let (X, β€’ ) be a Banach space. We study asymptotically bounded quasi constricted representations of an abelian semigroup IP in L(X), i. e. representations (Tt) t∈IP which satisfy the following conditions: i) lim tβ†’βˆž Ttx < ∞ for all x ∈ X. ii) X 0 := {x ∈ X : lim tβ†’βˆž Ttx = 0} is closed and has finite