Research Article
On the norm bounded sets of the ideal $E^{a}$
https://doi.org/10.21203/rs.3.rs-3098109/v1
This work is licensed under a CC BY 4.0 License
published 04 Mar, 2024
You are reading this latest preprint version
The paper is devoted to study the norm bounded subsets which are contained in Ea. Also, we introduce and study the class of the bounded-Ea operators, whichmaps the closed unit bull of a Banach space to a subset of $E^{a}$. Some interesting results about this class of operators are presented.
2010 Mathematics Subject Classification. 46B42, 47B60, 47B65
Banach lattice
L-weakly compact set
The maximal ideal of a Banach lattice with order continuous norm
No competing interests reported.
published 04 Mar, 2024
Editorial decision: Revision requested
20 Nov, 2023
Reviews received at journal
03 Nov, 2023
Reviewers agreed at journal
04 Jul, 2023
Reviewers invited by journal
03 Jul, 2023
Editor assigned by journal
30 Jun, 2023
Submission checks completed at journal
30 Jun, 2023
First submitted to journal
22 Jun, 2023
You are reading this latest preprint version