The Property EA and Local Spectral Theory

Elvis Aponte, Lourival Lima and José Sanabria

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-7

Abstract: In this paper, we introduce and study the spectral property EA. This property means that the difference between the approximate point spectrum and the upper semi-Fredholm spectrum coincides with the difference between the approximate point spectrum and the upper semi-Weyl spectrum. Together with local spectral theory, we explore the behavior of this property under certain topological conditions and derive characterizations for the operators that verify it. Furthermore, we establish sufficient conditions that guarantee that a bounded linear operator verifies the property EA.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:3294145

DOI: 10.1155/ijmm/3294145

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