Cosine families of operators in a class of Fréchet spaces.
Keywords:Strongly continuous cosine families, emi-groups of operators, Locally convex spac, Quojection Fréchet space
M. sova  proved that the infinitesimal generator of all uniformly continuous cosine family, of operators in Banach space, is a bounded operator. We show by counter-example that the result mentioned above is not true in general on Fréchet spaces, and we prove that the infinitesimal generator of an uniformly continuous cosine family of operators in a class of Fréchet spaces (quojection) is necessarily continuous.
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