Geodesic
Cosine families of operators have the SVEP
Filomat, Tome 37 (2023) no. 2, p. 387

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DOI

Let (C(t)) t∈R be a strongly continuous cosine function of operators on a Banach space X with infinitesimal generator A. In this paper, we prouve that A has the SVEP if and only if C(t) has the SVEP for all t ∈ R if and only if C(t 0) has the SVEP for some t 0 ∈ R.
DOI : 10.2298/FIL2302387B
Classification : 47A10, 47D62
Keywords: Cosine, Generator, SVEP 
Hamid Boua. Cosine families of operators have the SVEP. Filomat, Tome 37 (2023) no. 2, p. 387 . doi: 10.2298/FIL2302387B
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     title = {Cosine families of operators have the {SVEP}},
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     doi = {10.2298/FIL2302387B},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2302387B/}
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