English

Strictly singular multiplication operators on $\mathcal L(X)$

Functional Analysis 2019-05-15 v2

Abstract

Exploiting several p\ell_p-factorization results for strictly singular operators, we study the strict singularity of the multiplication operator LARB ⁣:TATBL_A R_B\colon T\mapsto ATB on L(X)\mathcal L(X) for various Banach spaces~XX.

Keywords

Cite

@article{arxiv.1810.09194,
  title  = {Strictly singular multiplication operators on $\mathcal L(X)$},
  author = {Martin Mathieu and Pedro Tradacete},
  journal= {arXiv preprint arXiv:1810.09194},
  year   = {2019}
}

Comments

18 pages. A gap in the proof of Theorem 5.5 has been fixed

R2 v1 2026-06-23T04:48:03.592Z