What is it about?

A variation of the a-Weyl theorem is performed by changing the upper Weyl spectrum to the upper Fredholm spectrum.

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Why is it important?

This study is important because it allows us to generalize the a-Weyl theorem and to open a new avenue in the local spectral theory, which has several applications.

Perspectives

As described in the article, innovations in local spectral theory and studies on generating new spectral equations are still pending.

Elvis Aponte
Escuela Superior Politecnica del Litoral

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This page is a summary of: The property $ (\omega{ \pi }) $ as a generalization of the a-Weyl theorem, AIMS Mathematics, January 2024, Tsinghua University Press,
DOI: 10.3934/math.20241253.
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