Some applications of Fejer’s theorem to operator cosine functions in Banach spaces
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- by Ioana Ciorănescu and Carlos Lizama PDF
- Proc. Amer. Math. Soc. 125 (1997), 2353-2362 Request permission
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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Additional Information
- Ioana Ciorănescu
- 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
- MR Author ID: 114975
- Email: clizama@fermat.usach.cl
- 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 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2353-2362
- MSC (1991): Primary 47D09; Secondary 34G10
- DOI: https://doi.org/10.1090/S0002-9939-97-03837-9
- MathSciNet review: 1389510