Journal of the Iranian Mathematical Society

Journal of the Iranian Mathematical Society

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

Document Type : Dedicated to Prof. A. T.-M. Lau

Authors
A. R. Bagheri Salec
S. M. Tabatabaie
A. M. Juweed
Department of Mathematics, University of Qom‎, ‎P.O. Box 37161, Qom‎, ‎Iran.
10.30504/jims.2025.512613.1250
Abstract
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.
Keywords
Spaceable sets
Banach function spaces
Banach sequence spaces
surjective operators
Subjects
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Journal of the Iranian Mathematical Society
Volume 6, Issue 2
August 2025
Pages 107-113