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Aponte, Elvis; Macías, Jhixon; Sanabria, José; Soto, José

Further characterizations of property \((V_\Pi)\) and some applications. (English) Zbl 07450347

Proyecciones 39, No. 6, 1435-1456 (2020).
J. Sanabria et al. [Open Math. 16, 289–297 (2018; Zbl 06893167)] introduce and study a new spectral propertie, namely \((V_{\prod})\) in connection with Browder type theorems. In this paper, further caracterizations of this property with techniques provided by the local spectral theory of bounded linear operators are given. They also carry out the study of the polaroid operators and the invertible operators of Drazin which verify the property mentioned above.
Reviewer: Mohammed Karmouni (Safi)

Cited in 1 Document

MSC:

47A10 Spectrum, resolvent

Keywords:

semi-Fredholm operator; semi-Weyl operator; Drazin invertible operator; property \((V_\Pi)\)

Citations:

Zbl 06893167
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Full Text: DOI

References:

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