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The Infinite Alternating Semigroup

✍ Scribed by Stephen Lipscomb

Publisher
Springer
Year
1997
Tongue
English
Weight
246 KB
Volume
55
Category
Article
ISSN
0037-1912

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On the Infinite Product ofC0-Semigroups
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✍ W Arendt; A Driouich; O El-Mennaoui πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 334 KB

Given a family (e tAk ) t 0 (k # N) of commuting contraction semigroups, we investigate when the infinite product > k=1 e tAk converges and defines a C 0 -semigroup. A particular case is the heat semigroup in infinite dimension introduced by Cannarsa and Da Prato (J. Funct. Anal. 118 (1993), 22 42).