Type: Article

On the lineability and maximal lineability of the set of non-absolutely summing operators

Journal: Journal of Mathematical Analysis and Applications (0022247X)Year: 2025Volume: Issue: 1

Fakhar M.^a Soleimani-Mourchehkhorti M.

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.1016/j.jmaa.2025.129650Language: English

Abstract

In this article, we investigate μ-lineability of the set of non-absolutely p-summing operators between certain pairs of Banach spaces. Moreover, we prove that for many known Banach spaces E and F, K(E,F)∖⋃1≤p<∞Πp(E,F) is maximal lineable in L(E,F). Our results provide a more comprehensive answer to a question posed by Botelho, Diniz and Pellegrino [12]. © 2025 Elsevier Inc.

Author Keywords

Absolutely summing operatorsLineableSpaceableSuper-reflexive Banach spaces