Authors: Ali Reza Bagheri Salec
Ivković, Stefan 
Seyyed Mohammad Tabatabaie
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Spaceability on some classes of Banach spaces
Journal: Mathematical Inequalities and Applications
Volume: 25
Issue: 3
First page: 659
Last page: 672
Issue Date: 2022
Rank: M21
ISSN: 1331-4343
DOI: 10.7153/mia-2022-25-41
In this paper, we study spaceability of subsets of generalized Orlicz and Lebesgue
spaces associated to a Banach function space. Also, we give some sufficient conditions for
spaceability of subsets of a general Banach space which improves an important result on this
topic. As an application, it is shown that the set of all bounded linear operators which are not
positive semidefinite on a separable Hilbert space is spaceable.
Keywords: Spaceability | generalized Orlicz space | generalized Lebesgue space | Banach function space
Publisher: Element d.o.o.

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