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Characterization of Gaussian semigroups on separable Banach spaces
Authors:Mohamed Abouabassi   Omar El-Mennaoui  Valentin Keyantuo
Affiliation:(1) Université Ibnou Zohr, Faculté des Sciences, 28 Agadir, Morocco;(2) University of Puerto Rico, Department of Mathematics Faculty of Natural Sciences, 23355, 00931 Puerto Rico, USA
Abstract:Let E be a separable real Banach space and denote by BUC(E) the space of bounded and uniformly continuous functions on E.For a C 0-semigroup
$(T(t))_{tge 0}$
acting onBUC(E), we obtain necessary and sufficient conditions ensuringthat 
$(T(t))_{t ge 0}$
is Gaussian.
Keywords:Primary 47D03  47D06  60B11
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