On the spectral $\nu$-continuity
Functional Analysis
2020-09-22 v1 Operator Algebras
Abstract
In this paper we study the -continuity of the spectrum and some of its parts. We show that the approximate point spectrum is upper semi--continuous at every Fredholm operator, then we give sufficient conditions to guarantee the -continuity of . Also we show that the restriction of the Weyl spectrum on the class of essentially operators is -continuous. Finally, we investigate the -continuity of the spectrum on the class of -hyponormal operators.
Cite
@article{arxiv.2009.08977,
title = {On the spectral $\nu$-continuity},
author = {Salvador Sánchez-Perales and Sergio Palafox and Tomás Pérez-Becerra},
journal= {arXiv preprint arXiv:2009.08977},
year = {2020}
}