Novikov, S.Ya. and Semenov, Evgeny M. and Hernández Rodríguez, Francisco Luis (2002) Strictly singular embeddings. Functional Analysis and its applications , 36 (1). pp. 71-73. ISSN 0016-2663
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Abstract
An operator A mapping a Banach space E into a Banach space F is called strictly singular (or Kato) if any restriction of A to an infinite-dimensional subspace of E is not an isomorphism. The paper deals with the problem of describing all couples of rearrangement-invariant spaces E↪F for which the embedding operator is strictly singular.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Rearrangement invariant Banach space; strictly singular embedding; disjointly strictly singular embedding; Rademacher system; exponential Orlicz space |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 16034 |
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| Deposited On: | 20 Jul 2012 13:10 |
| Last Modified: | 20 Jul 2012 13:10 |
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