English

Ideals of operators on $(\oplus \ell^\infty(n))_{\ell^1}$

Functional Analysis 2013-10-29 v1

Abstract

The unique maximal ideal in the Banach algebra L(E)L(E), E=((n))1E = (\oplus \ell^\infty(n))_{\ell^1}, is identified. The proof relies on techniques developed by Laustsen, Loy and Read and a dichotomy result for operators mapping into L1L^1 due to Laustsen, Odell, Schlumprecht and Zs\'{a}k.

Keywords

Cite

@article{arxiv.1310.7352,
  title  = {Ideals of operators on $(\oplus \ell^\infty(n))_{\ell^1}$},
  author = {Denny H. Leung},
  journal= {arXiv preprint arXiv:1310.7352},
  year   = {2013}
}