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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Hauptverfasser: Athmouni, Nassim, Damak, Mondher, Jendoubi, Chiraz
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
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Beschreibung
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.
DOI:10.48550/arxiv.1808.08045