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Some applications of Fejer's theorem to operator cosine functions in Banach spaces
Author(s):
Ioana
Cioranescu;
Carlos
Lizama
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2353-2362.
MSC (1991):
Primary 47D09;
Secondary 34G10
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Abstract:
We characterize spectral properties of operator cosine functions in Banach spaces in terms of the Césaro summability of two series associated to the resolvent of the corresponding infinitesimal generator.
References:
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- I. Cioranescu, C. Lizama, Spectral properties of cosine operator functions, Aequationes Math. 36 (1988) 80-98. MR 89i:47071
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Additional Information:
Ioana
Cioranescu
Affiliation:
Department of Mathematics, University of Puerto Rico, Box 23355 Rio Piedras, Puerto Rico 00931
Carlos
Lizama
Affiliation:
Departamento de Matemática y C. C., Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile
Email:
clizama@fermat.usach.cl
DOI:
10.1090/S0002-9939-97-03837-9
PII:
S 0002-9939(97)03837-9
Received by editor(s):
December 11, 1995
Received by editor(s) in revised form:
February 22, 1996
Additional Notes:
This research was done while the first author was visiting the Department of Mathematics, University of Santiago de Chile, supported by CONICYT
The second author was partially supported by FONDECYT grant 1930066 and DICYT (USACH)
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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