Lower semicontinuity and the theorem of datko and pazy

Integral Equations and Operator Theory

Volumn 42, Issue 4, 2002, Pages 482-492

  Van Neerven, J M A M ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036434540     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01270925     Document Type: Article

References (8)

1. B. Beauzamy, Introduction to Operator Theory and Invariant Subspaces, North Holland, 1988.
2. R. Datko, Uniform asymptotic stability of evolutionary processes in in a Banach space, SIAM J. Math. Anal. 3 (1972), 428-445.
3. V. Müller, Local behaviour of the polynomial calculus of operators, J. Reine Angew. Math. 430 (1992), 61-68.
4. V. Müller, Orbits, weak orbits and local capacity of operators, to appear in Integral Equat. Oper. Th. (2001).
5. J.M.A.M. van Neerven, Exponential stability of operators and operator semigroups, J. Func. Anal. 130 (1995), 293-309.
6. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, 1983.
7. S. Rolewicz, On uniform N-equistability, J. Math. Anal. Appl. 115 (1986), 434-441.
8. J. Zabczyk, Remarks on the control of discrete-time distributed parameter systems, SIAM J. Control 12 (1974), 721-735.