Spaceability and operator ideals

作者：Hernandez Francisco L; Ruiz Cesar; Sanchez Victor M^*

来源：Journal of Mathematical Analysis and Applications, 2015, 431(2): 1035-1044.

DOI：10.1016/j.jmaa.2015.06.025

• Spaceability
• Operator ideal

Let I-1 and I-2 be arbitrary operator ideals in the sense of Pietsch and E and F be Banach spaces such that the set I-1(E, F) \ I-2(E, F) is non-empty. We give a quite general sufficient condition on the Banach spaces in order to obtain the spaceability of I-1(E, F) \ I-2(E, F). Some consequences are provided when considering the ideals of compact operators, strictly singular operators, finitely strictly singular operators and Schatten operator classes.

• 出版日期2015-11-15