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

DOI10.1007/S11856-020-1985-0arXiv1810.09194MaRDI QIDQ6308583

Pedro Tradacete, Martin Mathieu

Publication date: 22 October 2018

Abstract: Exploiting several $el{l}_p$-factorization results for strictly singular operators, we study the strict singularity of the multiplication operator $L_A{R}_{B}colonTmapstoATB$ on $mathcalL(X)$ for various Banach spaces~$X$.

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Commutators, derivations, elementary operators, etc. (47B47)

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