Consistent invertibility and perturbations for property (ρ)

Qiaoling Xin; Lining Jiang

doi:10.5486/PMD.2017.7179

Consistent invertibility and perturbations for property (ρ)

Qiaoling Xin, Lining Jiang

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

An operator T ϵ B(H) is said to be consistent in invertibility" provided that for each S ϵ B(H), TS and ST are either both or neither invertible. Using the induced spectrum, the paper investigates the permanence of property (ρ) under some commuting perturbations, which extends the corresponding results in P. Aiena et al. (2007) [3]. In addition, the stability of property (!) of the operators which are the products of finitely normal operators is considered.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Publicationes Mathematicae Debrecen
Volume	90
Issue number	1-2
DOIs	https://doi.org/10.5486/PMD.2017.7179
Publication status	Published - 2017

Keywords

Consistent in invertibility
Perturbation
Property (ρ)

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10.5486/PMD.2017.7179

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Consistent invertibility and perturbations for property (ρ)

Abstract

Keywords

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