English

Property $(UW_E)$ and Consistent invertibility

Functional Analysis 2025-06-24 v1 Spectral Theory

Abstract

In this paper, we study the stability of Property (UWE)(UW_E) under commuting finite rank perturbation in terms of spectrum induced by consistent in invertibility for operators and a variant of upper semi-Weyl spectrum. Also we discuss the stability of Property (UWE)(UW_{E}) under direct sum TST\oplus S and tensor product TST\otimes S for Hilbert space operators TT and SS.

Keywords

Cite

@article{arxiv.2506.18596,
  title  = {Property $(UW_E)$ and Consistent invertibility},
  author = {Simi Thomas and T Prasad and Shery Fernandez},
  journal= {arXiv preprint arXiv:2506.18596},
  year   = {2025}
}
R2 v1 2026-07-01T03:29:23.164Z