T紧等价下闭算子本质谱的稳定性及其应用

Q4 Mathematics

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Pub Date : 2019-07-20 DOI:10.31926/but.mif.2019.12.61.1.5

N. Khaldi, B. Messirdi

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引用次数: 1

摘要

本文的主要课题是引入和研究Hilbert空间中闭线性算子的T -紧等价的概念。利用这一等价证明了许多结果，特别是T紧等价闭算子的本质谱的不变性。所得结果用于描述输运算子的Fredholm本质谱。2000数学学科分类:47A53、47A55、47N50

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability of essential spectra of closed operators under T-compact equivalence and applications

The main subject of this paper is to introduce and study the concept of T -compact equivalence of closed linear operators in Hilbert spaces. Many results are proved via this equivalence, especially the invariance of essential spectra of T -compact equivalent closed operators. The results obtained are used to describe some Fredholm essential spectra of transport operators. 2000 Mathematics Subject Classification: 47A53, 47A55, 47N50

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来源期刊

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

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