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arXiv · 2506.18596

Property $(UW_E)$ and Consistent invertibility

Simi Thomas·T Prasad·Shery Fernandez
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Abstract

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 $S$.

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Simi Thomas, T Prasad, Shery Fernandez. 2025-06-23. Property $(UW_E)$ and Consistent invertibility. https://arxiv.org/abs/2506.18596

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