| Autor: |
Fourie, Jan H., Zeekoei, Elroy D. |
| Předmět: |
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| Zdroj: |
QM - Quaestiones Mathematicae; Apr2023, Vol. 46 Issue 3, p599-619, 21p |
| Abstrakt: |
Given a Banach space Y, the so-called right Y and left Y-extensions of operator ideals are introduced and applied to the study of operator ideal properties of well-known classes of operators on Banach spaces. The key is to introduce a general theory (in the context of operator ideal theory) to study some classes of operators which are right or left Y-extensions of classical operator ideals for some Banach space Y. This leads to a study of a class of operators, called (r, Yq)-limited operators, which generalises some recently introduced operators in the literature. In particular, the results of this study are applied to obtain characterisations and new information about the sequentially p-limited operators, weakly mid (q,p; r)-summing operators, p-convergent (or p-converging) operators and weak* p-convergent operators. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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