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

B. P. Duggal; I. H. Kim

doi:10.1016/j.jmaa.2020.124718

paper

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

arXiv:2007.11368 · doi:10.1016/j.jmaa.2020.124718

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.

16

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

Abstract

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