arXiv Open Access 2024

The property $(E_A)$ and local spectral theory

Elvis Aponte Lourival Lima José Sanabria

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Abstrak

In this paper, we introduce and study the spectral property $(E_A)$. 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 $(E_A)$.

Topik & Kata Kunci

math.FA

Penulis (3)

Elvis Aponte

Lourival Lima

José Sanabria

Format Sitasi

APA MLA BibTeX

Aponte, E., Lima, L., Sanabria, J. (2024). The property $(E_A)$ and local spectral theory. https://arxiv.org/abs/2402.10170

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓