On interpolation of some quasi-Banach spaces
✍ Scribed by Mieczysław Mastyło
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 785 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0022-247X
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We thank Carl de Boor and Amos Ron for providing us with their recent preprint [7], in which results similar to those discussed in Section 4 of this paper are also obtained. We are also indebted to Rong-Qing Jia for sending us his recent preprint [17]. The main results in this paper were presented t
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