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Characterization of Essential Spectra Involving Weakly Demicompact Operators on Banach Spaces

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In this paper, we prove that a weakly demicompact linear operator with respect to an unbounded operator $$S_{0}$$ can be characterized by measures of weak noncompactness. Moreover, its relationship with… Click to show full abstract

In this paper, we prove that a weakly demicompact linear operator with respect to an unbounded operator $$S_{0}$$ can be characterized by measures of weak noncompactness. Moreover, its relationship with semi-Fredholm operators as well as the characterization of its $$S_{0}$$ -essential spectrum is studied.

Keywords: involving weakly; spectra involving; essential spectra; characterization essential; weakly demicompact

Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2021

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