Spaceability of the set of surjective bounded operators on Banach function spaces

نویسندگان
Bagheri Salec, A. R. ID 1
Tabatabaie, S. M. ID 2
Juweed, A. M. ID 3

1 Department of Mathematics, University of Qom‎, ‎P.O. Box 37161, Qom‎, ‎Iran.

2 Department of Mathematics, University of Qom‎, ‎P.O. Box 37161, Qom‎, ‎Iran.

3 Department of Mathematics, University of Qom‎, ‎P.O. Box 37161, Qom‎, ‎Iran.

doi
10.30504/jims.2025.512613.1250
چکیده

In this work‎, ‎we prove that the set of all surjective bounded linear operators on a Banach function space in the context of a class of general sets, ‎is spaceable‎. ‎The obtained results not only prepare some new applications‎, ‎but also improve the previous versions given for standard Banach sequence spaces‎.

کلیدواژه‌ها
Spaceable sets, Banach function spaces, Banach sequence spaces, surjective operators