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- W2271562449 abstract "Let T = (T(t))t≥0 be a bounded C-regularized semigroup generated by A on a Banach space X and R(C) be dense in X. We show that if there is a dense subspace Y of X such that for every x ∈ Y, σu(A, Cx), the set of all points λ ∈ iR to which (λ - A)^-1 Cx can not be extended holomorphically, is at most countable and σr(A) N iR = Ф, then T is stable. A stability result for the case of R(C) being non-dense is also given. Our results generalize the work on the stability of strongly continuous senfigroups." @default.
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- W2271562449 date "2004-01-01" @default.
- W2271562449 modified "2023-09-26" @default.
- W2271562449 title "Stability of C-regularized Semigroups" @default.
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