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Quasi-uniformities on topological semigroups and bicompletion

✍ Scribed by H.-P. A. Künzi; J. Marín; S. Romaguera

Publisher
Springer
Year
2001
Tongue
English
Weight
229 KB
Volume
62
Category
Article
ISSN
0037-1912

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Quasi Constricted Linear Representations
Quasi Constricted Linear Representations of Abelian Semigroups on Banach Spaces
✍ Eduard Yu. Emel'yanov; Manfred P. H. Wolff 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB 👁 2 views

Let (X, • ) 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 t→∞ Ttx < ∞ for all x ∈ X. ii) X 0 := {x ∈ X : lim t→∞ Ttx = 0} is closed and has finite