| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615122 | Journal of Mathematical Analysis and Applications | 2015 | 10 Pages |
Abstract
Let I1I1 and I2I2 be arbitrary operator ideals in the sense of Pietsch and E and F be Banach spaces such that the set I1(E,F)∖I2(E,F)I1(E,F)∖I2(E,F) is non-empty. We give a quite general sufficient condition on the Banach spaces in order to obtain the spaceability of I1(E,F)∖I2(E,F)I1(E,F)∖I2(E,F). Some consequences are provided when considering the ideals of compact operators, strictly singular operators, finitely strictly singular operators and Schatten operator classes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Francisco L. Hernández, César Ruiz, Víctor M. Sánchez,