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Invariant subsets of strongly continuous semigroups

✍ Scribed by Jan A. Van Casteren


Publisher
SP Birkhäuser Verlag Basel
Year
1984
Tongue
English
Weight
353 KB
Volume
7
Category
Article
ISSN
0378-620X

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The Critical Spectrum of a Strongly Cont
✍ Rainer Nagel; Jan Poland 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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