ADMISSIBLE AND WEAKLY ADMISSIBLE OBSERVATION OPERATORS FOR THE RIGHT SHIFT SEMIGROUP

Proceedings of the Edinburgh Mathematical Society

Birgit Jacob¹ 

[1] Jonathan R. Partington

关键词: shift semigroup;    admissibility;    Hankel operator;    observation operator;   

DOI  :  10.1017/S0013091500001024

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this note we show that two conjectures of George Weiss on admissible and weakly admissible observation operators fail to hold in general for the right shift semigroup in the case that the output space is infinite dimensional.AMS 2000 Mathematics subject classification: Primary 47D06; 32A37; 93B28

【 授权许可】

Unknown