On the convergence and saturation problem of a sequence of discrete linear operators of exponential type inLp(−∞, ∞) spaces
✍ Scribed by D. P. Dryanov
- Publisher
- Akadmiai Kiad
- Year
- 1987
- Tongue
- English
- Weight
- 924 KB
- Volume
- 49
- Category
- Article
- ISSN
- 1588-2632
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## Abstract We study the asymptotic behavior of Maurey–Rosenthal type dominations for operators on Köthe function spaces which satisfy norm inequalities that define weak __q__ ‐concavity properties. In particular, we define and study two new classes of operators that we call __α__ ‐almost __q__ ‐co
In this paper we study the action of a bounded linear operator over different kinds of sequences of a Banach space. Our work is mainly devoted to minimal and Mbasic sequences. PLANS and GARC~A CASTELL~N have characterized the boundedneas of a linear operator T by requiring the minimality of any seq