A Characterization of the Essential Approximation Pseudospectrum on a Banach Space

A Characterization of the Essential Approximation Pseudospectrum on a Banach Space

One impetus for writing this paper is the issue of approximation pseudospectrum introduced by M. P. H. Wolff in the journal of approximation theory (2001). The latter study motivates us to investigate the essential approximation pseudospectrum of closed, densely defined linear operators on a Banach...

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Veröffentlicht in:Filomat 2017-01, Vol.31 (11), p.3599-3610
Hauptverfasser: Ammar, Aymen, Jeribi, Aref, Mahfoudhi, Kamel
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Banach space
Linear transformations
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Zusammenfassung:One impetus for writing this paper is the issue of approximation pseudospectrum introduced by M. P. H. Wolff in the journal of approximation theory (2001). The latter study motivates us to investigate the essential approximation pseudospectrum of closed, densely defined linear operators on a Banach space. We begin by defining it and then we focus on the characterization, the stability and some properties of these pseudospectra.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1711599A