正象本质等距算子的超不变子空间

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-10-28 DOI:10.1016/j.jmaa.2024.128998

Neeru Bala , Ramesh Golla

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引用次数: 0

摘要

在这篇文章中，我们证明了部分等值线的标量多重的紧凑扰动子类存在一个非三维超不变子空间。随后，我们将说明该类包含几类重要的算子。因此，我们证明了具有有限维零空间的部分等势的沙腾类扰动具有非三维超不变子空间。

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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Hyperinvariant subspaces for normaloid essential isometric operators

In this article, we prove the existence of a non-trivial hyperinvariant subspace for a subclass of compact perturbations of scalar multiple of a partial isometry. Later, we illustrate that this class contains several important classes of operators. As a consequence, we prove that a Schatten class perturbation of a partial isometry with finite-dimensional null space has a non-trivial hyperinvariant subspace.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.