Disproof of two conjectures of George Weiss
Jacob, B. and Zwart, H.J. (2000) Disproof of two conjectures of George Weiss. [Report]

PDF
192kB 
Abstract:  Two conjectures that were posed by Weiss almost ten years ago are shown not to hold. The first conjecture states that a scalar operator is admissible if and only a certain resolvent estimate holds. The second was posed by Weiss together with Russell and states that a system is exactly observable if and only if a test similar to the Hautus test for finitedimensional systems holds. The semigroup in both counterexamples is analytic and possesses a basis of eigenfunctions. 
Item Type:  Report 
Additional information:  Imported from MEMORANDA 
Faculty:  Electrical Engineering, Mathematics and Computer Science (EEMCS) 
Research Group:  
Link to this item:  http://purl.utwente.nl/publications/65733 
Export this item as:  BibTeX EndNote HTML Citation Reference Manager 
Repository Staff Only: item control page