arXiv Open Access 2022

Almost invertible operators

Zakariae Aznay Abdelmalek Ouahab Hassan Zariouh

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Abstrak

We prove that a bounded linear operator $T$ is a direct sum of an invertible operator and an operator with at most countable spectrum iff $0\notin\mbox{acc}^{ω_{1}}\,σ(T),$ where $ω_{1}$ is the smallest uncountable ordinal and $\mbox{acc}^{ω_{1}}\,σ(T)$ is the $ω_{1}$-th Cantor-Bendixson derivative of $σ(T).$

Topik & Kata Kunci

math.SP math.FA

Penulis (3)

Zakariae Aznay

Abdelmalek Ouahab

Hassan Zariouh

Format Sitasi

APA MLA BibTeX

Aznay, Z., Ouahab, A., Zariouh, H. (2022). Almost invertible operators. https://arxiv.org/abs/2211.07736

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓