Structure of elementary operators defining $m$-left invertible, $m$-selfadjoint and related classes of operators

DOI10.1016/J.JMAA.2020.124718arXiv2007.11368MaRDI QIDQ6345612

B. P. Duggal, Il Hun Kim

Publication date: 22 July 2020

Abstract: We use elementary algebraic properties of left, right multiplication operators to prove some deep structural properties of left $m$-invertible, $m$-isometric, $m$-selfadjoint and other related classes of Banach space operators, often adding value to extant results.

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47)

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