SOME PROPERTIES OF THE M−ESSENTIAL SPECTRA OF CLOSED LINEAR OPERATOR ON A BANACH SPACE

Aymen Ammar

Abstract


In this paper, we study a detailed treatment of some subsets of M-essential
spectra of closed linear operators subjected to additive perturbations not necessarily belonging
to any ideal of the algebra of bounded linear operators and we investigate some
properties of the M-essential spectra of 2 × 2 matrix operator acting on a Banach space.
This study led us to generalize some well known results for essential spectra of closed
linear operator.


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