Classes of sequentially limited operators (Q2816780)
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scientific article; zbMATH DE number 6619347
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classes of sequentially limited operators |
scientific article; zbMATH DE number 6619347 |
Statements
25 August 2016
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operator \(p\)-summable sequence
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sequentially \(p\)-limited operator
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\(p\)-Dunford-Pettis-property
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normed operator ideal
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\((p,q)\)-summing operator
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Classes of sequentially limited operators (English)
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In the paper under review, the general concept of ``operator \([Y,p]\)-summable sequence'' in a Banach space \(X\) and the norm space of sequentially \(p\)-limited operators are considered. The main results of the paper, in particular, are proofs that \(Y_p(X)\) is a Banach space and the class of sequentially \(p\)-limited operators is a Banach operator ideal with respect to a suitable ideal norm. Moreover, some other properties and multiplication results of related classes of operators are discussed.
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