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Generalized relative essential spectra
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The aim of the present paper is to give some spectral results about
generalized Fredholm operators and the so called S-generalized Fredholm
operators, where S is a given bounded linear operator acting on a Banach
space X. When X possesses some properties, we provide then some sufficient
conditions for which a bounded linear operator will be a generalized
Fredholm. The obtained results are applied to characterize the so called
generalized S-essential spectrum, in particular the generalized Jeribi
S-essential spectrum [17]. These results are formulated by means of measure
of weak noncompactness.
Title: Generalized relative essential spectra
Description:
The aim of the present paper is to give some spectral results about
generalized Fredholm operators and the so called S-generalized Fredholm
operators, where S is a given bounded linear operator acting on a Banach
space X.
When X possesses some properties, we provide then some sufficient
conditions for which a bounded linear operator will be a generalized
Fredholm.
The obtained results are applied to characterize the so called
generalized S-essential spectrum, in particular the generalized Jeribi
S-essential spectrum [17].
These results are formulated by means of measure
of weak noncompactness.
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