On the Infinite Product ofC0-Semigroups |
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| Authors: | W Arendt A Driouich O El-Mennaoui |
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| Institution: | aAbteilung Mathematik V, Universität Ulm, D-89069, Ulm, Germanyf1;bDépartement de Mathématiques, Faculté des Sciences, Université Ibnou Zohr, B.P. 28, Agadir, Morocco |
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| Abstract: | Given a family (etAk)t0(k
) of commuting contraction semigroups, we investigate when the infinite product ∏∞k=1 etAkconverges and defines aC0-semigroup. A particular case is the heat semigroup in infinite dimension introduced by Cannarsa and Da Prato (J. Funct. Anal.118(1993), 22–42). |
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