Analytic properties of cosine operators

Authors:
S. Nelson and R. Triggiani

Journal:
Proc. Amer. Math. Soc. **74** (1979), 101-104

MSC:
Primary 47D05

MathSciNet review:
521880

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Abstract: Let *A* be the infinitesimal generator of a strongly continuous cosine operator , hence of the analytic semigroup , on the Banach space *X*. It is proved that the set of analytic vectors for contains the dense subspace , the containment being in general proper.

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DOI:
https://doi.org/10.1090/S0002-9939-1979-0521880-4

Keywords:
Cosine operators,
semigroups,
analytic vectors

Article copyright:
© Copyright 1979
American Mathematical Society