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Novikov, S.Ya. and Semenov, Evgeny M. and Hernández, Francisco L. (2002) Strictly singular embeddings. Functional Analysis and its applications, 36 (1). pp. 71-73. ISSN 0016-2663
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Official URL: http://www.springerlink.com/content/quduxdalmpd97215/fulltext.pdf
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 |
| Deposited On: | 20 Jul 2012 11:10 |
| Last Modified: | 16 Nov 2018 18:23 |
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