On Uniform Dichotomies for the Growth Rates of Linear Discrete-time Dynamical Systems in Banach Spaces
二分法
巴拿赫空间
数学
纯数学
统计
作者
Rovana Boruga
出处
期刊:Springer proceedings in mathematics & statistics日期:2024-01-01卷期号:: 175-188
标识
DOI:10.1007/978-3-031-51049-6_9
摘要
The aim of the present paper is to give some characterizations for the growth rates of linear discrete-time dynamical systems in Banach spaces. More precisely, necessary and sufficient conditions of Datko–Zabczyk type as well as characterizations using Lyapunov functions are given using both invariant and strongly invariant projection sequences. Also, as consequences we obtain characterizations for the uniform exponential dichotomy behavior.