A note on the mapping theorem of essential pseudospectra on a Banach space

Aymen Ammar; S. Veeramani

doi:10.3842/umzh.v76i3.7325

Aymen Ammar Department of Mathematics, University of Sfax, Tunisia
S. Veeramani Department of Mathematics, Vellore Institute of Technology, Tamil Nadu, India

DOI: https://doi.org/10.3842/umzh.v76i3.7325

Keywords: Essential spectrum, essential pseudospectrum, mapping theorem

Abstract

UDC 517.98

The main goal of the paper is to determine some basic properties of the essential pseudospectrum of a bounded linear operator $A$ defined on a Banach space $X.$ We also prove two different versions of the essential pseudospectral mapping theorem.

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