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Distance near the origin between elements of a strongly continuous semigroup

✍ Scribed by Jean Esterle


Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
806 KB
Volume
43
Category
Article
ISSN
0004-2080

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The Critical Spectrum of a Strongly Cont
✍ Rainer Nagel; Jan Poland πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 132 KB

For a strongly continuous semigroup (T(t)) t 0 with generator A we introduce its critical spectrum \_ crit (T(t)). This yields in an optimal way the spectral mapping theorem \_(T(t))=e t\_(A) \_ \_ crit (T(t)) and improves classical stability results. 2000