A coordinate free characterization of certain quasidiagonal operators
Functional Analysis
2014-07-29 v2
Abstract
We obtain (i) a new, coordinate free, characterization of quasidiagonal operators with essential spectra contained in the unit circle by adapting the proof of a classical result in the theory of Banach spaces, (ii) an affirmative answer to some questions of Hadwin, and (iii) an alternative proof of Hadwin's characterization of the SOT, WOT and -SOT closure of the unitary orbit of a given operator on a separable, infinite dimensional, complex Hilbert space.
Cite
@article{arxiv.1401.5829,
title = {A coordinate free characterization of certain quasidiagonal operators},
author = {March T. Boedihardjo},
journal= {arXiv preprint arXiv:1401.5829},
year = {2014}
}