The Powers of Regular Linear Relations

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-09-14 DOI:10.1007/s11785-024-01593-3

Houcem Daoud

引用次数: 0

Abstract

In this paper, we analyse properties like nullity, defect, ascent and descent of the powers of regular linear relations. We improve some results related to closure and regularity of powers of linear relations in normed spaces. Further, the obtained results are applied to investigate the descent and essential descent spectrum and to give some stability results.

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常规线性关系的幂

本文分析了正则线性关系幂的无效、缺陷、上升和下降等性质。我们改进了与规范空间中线性关系幂的封闭性和正则性有关的一些结果。此外，我们还将所得结果应用于研究下降谱和本质下降谱，并给出一些稳定性结果。

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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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.