Variants of expansivity in linear dynamics

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-05-05 DOI:10.1016/j.laa.2025.04.025

Priyabrata Bag , Pramod Kumar Das , Hiroyuki Osaka , Shubhankar Podder

引用次数: 0

Abstract

We study various topological dynamical notions, including positive expansivity, expansivity, and measure-expansivity for linear operators. We provide examples to show that these notions are distinct from each other, even for linear operators. We provide sufficient conditions, in terms of the restricted operators on suitable subspaces of the phase space, for the linear operators to be positive expansive, expansive, and measure-expansive. For some special operators, we provide necessary and sufficient conditions for measure-expansivity.

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线性动力学中膨胀率的变异体

我们研究了各种拓扑动力学概念，包括线性算子的正扩张性、扩张性和测度扩张性。我们提供的例子表明，这些概念彼此不同，甚至对于线性算子。利用相空间的合适子空间上的受限算子，给出了线性算子为正可扩、可扩和测度可扩的充分条件。对于一些特殊的操作，给出了测量膨胀的充分必要条件。

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

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.