Home > Research > Publications & Outputs > Kernels of bounded operators on the classical t...

Research

Associated organisational unit

Electronic data

  • ArnottLaustsenOuluProc

    Accepted author manuscript, 424 KB, PDF document

    Available under license: CC BY-NC-ND: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

Keywords

View graph of relations

Kernels of bounded operators on the classical transfinite Banach sequence spaces

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed) › peer-review

Forthcoming
Publication date10/02/2025
Host publicationBanach algebras and harmonic analysis
EditorsMahmoud Filali
Publisherde Gruyter
Number of pages11
<mark>Original language</mark>English

Abstract

Every closed subspace of each of the Banach spaces X=lp(Γ) and X=c0(Γ), where Γ is a set and 1<p<∞, is the kernel of a bounded operator X→X.
On the other hand, whenever Γ is an uncountable set, l1(Γ) contains a closed subspace that is not the kernel of any bounded operator l1(Γ)→l1(Γ).