收缩的极限吸收原理

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-07-15 DOI:10.1016/j.jfa.2025.111135

Joachim Asch , Olivier Bourget

引用次数: 0

摘要

我们建立了Hilbert空间上缩的极限吸收原理。我们的充分条件是基于正换向子估计。讨论了该原理对相应离散半群的动力学意义，并给出了几个应用。特别是Toeplitz算子和收缩量子漫步。

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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Limiting absorption principle for contractions

We establish limiting absorption principles for contractions on a Hilbert space. Our sufficient conditions are based on positive commutator estimates. We discuss the dynamical implications of this principle to the corresponding discrete-time semigroup and provide several applications. Notably to Toeplitz operators and contractive quantum walks.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis