Structure of elementary operators defining $m$-left invertible, $m$-selfadjoint and related classes of operators
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2020
- DOI:
- 10.48550/arXiv.2007.11368
- arXiv:
- arXiv:2007.11368
- Bibcode:
- 2020arXiv200711368D
- Keywords:
-
- Mathematics - Functional Analysis;
- Primary 47A05;
- 47A55. Secondary 47A80;
- 47A10
- E-Print:
- 16