On the ascent-descent spectrum

On the ascent-descent spectrum

We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Furthermore, we construct a new concept of convergence for such spectra.

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Veröffentlicht in:arXiv.org 2018-08
Hauptverfasser: Athmouni, Nassim, Damak, Mondher, Jendoubi, Chiraz
Format: Artikel
Sprache:eng
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Zusammenfassung:We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Furthermore, we construct a new concept of convergence for such spectra.
ISSN:2331-8422