Some Properties of Causal Linear Time-Invariant(LTI) Operators on the Weighted l_(2) Space  

作　　者：Naifeng GAN Yufeng LU Liu LIU 

机构地区：[1]School of Mathematical Sciences, Dalian University of Technology [2]School of Mathematics and Information Science, Anshan Normal University

出　　处：《Journal of Mathematical Research with Applications》2015年第6期672-680,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11271059)

摘　　要：We discuss the properties of causal LTI operators on weighted ？2 spaces for different choices of the weighting sequence {w（t）}t∈Z. Problems of closability of unstable causal LTI convolution operators are also discussed. We shall provide a new type of argument concerning causal LTI operators and robust design that can be applied to a large class of weighted ？2 spaces on Z.We discuss the properties of causal LTI operators on weighted ？2 spaces for different choices of the weighting sequence {w（t）}t∈Z. Problems of closability of unstable causal LTI convolution operators are also discussed. We shall provide a new type of argument concerning causal LTI operators and robust design that can be applied to a large class of weighted ？2 spaces on Z.

关 键 词：causal LTI operators weighted l_(2) space two-operator approach 

分 类 号：O177[理学—数学]