Norm discontinuity and spectral properties of Ornstein-Uhlenbeck semigroups
نویسندگان
چکیده
منابع مشابه
Norm Discontinuity and Spectral Properties of Ornstein-uhlenbeck Semigroups
Let E be a real Banach space. We study the Ornstein-Uhlenbeck semigroup P = {P (t)}t≥0 associated with the Ornstein-Uhlenbeck operator Lf(x) = 1 2 TrQDf(x) + 〈Ax,Df(x)〉, x ∈ E. Here Q ∈ L (E, E) is a positive symmetric operator and A is the generator of a C0-semigroup S = {S(t)}t≥0 on E. Under the assumption that P admits an invariant measure μ∞ we prove that if S is eventually compact and the ...
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ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2005
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-005-0239-2