arXiv subjects

Simi Thomas

Publications and source records attributed to Simi Thomas.

2 recordsLinked to original sources

arXiv2025

Property $(UW_E)$ and Consistent invertibility

In this paper, we study the stability of Property $(UW_E)$ 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 $(UW_{E})$ under direct sum $T\oplus S$ and tensor product $T\otimes S$ for Hilbert space operators $T$ and $S$.

math.FA↗

arXiv2024

Weyl type theorems for hypercyclic, supercyclic, and Toeplitz operators

In this paper, we study property $(UW_E)$ for hypercyclic and supercyclic operators. The stability of variants of Weyl type theorems under compact perturbations for Toeplitz operators on the Bergman space is also studied. We also provide some examples of Toeplitz operators satisfying Weyl type theorems on the Bergman space and the harmonic Bergman space.

math.FA↗