A characterization of the condition spectrum on Banach space
Aymen Ammar, Aref Jeribi, Kamel Mahfoudhi · Functional Analysis, Approximation and Computation · 2018
The aim of this paper is to introduce new definition of spectrum of a linear operator called the condition pseudospectrum how has a nice spectral properties. One impetus for writing this paper is the issue of condition pseudospectrum introduced by Ransford in the journal of J. London Math. Soc. (1984). The latter study motivates us to investigate the condition pseudospectrum of linear operator on a Banach space. We begin by defining it and then we focus on the characterization, the stability and some properties of these spectra.