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scholarly journals ADMISSIBLE AND WEAKLY ADMISSIBLE OBSERVATION OPERATORS FOR THE RIGHT SHIFT SEMIGROUP

2002 ◽  
Vol 45 (2) ◽  
pp. 353-362 ◽  
Author(s):  
Birgit Jacob ◽  
Jonathan R. Partington ◽  
Sandra Pott
Keyword(s):  
Subject Classification ◽  
Primary 47D06 ◽  
Infinite Dimensional ◽  
Shift Semigroup ◽  
The Right ◽  
Output Space

AbstractIn 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

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