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Strictly singular embeddings

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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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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