Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces

Arnott, Max and Laustsen, Niels (2021) Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces. Journal of Mathematical Analysis and Applications, 500 (1): 125105. ISSN 0022-247X

[thumbnail of MA_NJL_ClosedIdealClassFinal]

Text (MA_NJL_ClosedIdealClassFinal)
MA_NJL_ClosedIdealClassFinal.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.
Download (439kB)

Abstract

We classify the closed ideals of bounded operators acting on the Banach spaces (⊕n∈ N l2n)c_0 ⊕ c0(Γ) and (⊕n∈ N l2n)l_1 ⊕ l1(Γ) for every uncountable cardinal Γ.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Mathematical Analysis and Applications

Additional Information:

This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, 500 (1), 2021 DOI: 10.1016/j.jmaa.2021.125105

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? banach spacelong sequence spacebounded operatorclosed operator idealideal latticegeneral mathematicsanalysisapplied mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

152236

Deposited By:

ep_importer_pure

Deposited On:

02 Mar 2021 12:01

Refereed?:

Yes

Published?:

Published

Last Modified:

05 Nov 2024 01:27

URI:

https://eprints.lancs.ac.uk/id/eprint/152236