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- W1579487284 abstract "Let T be a C_0-semigroup on X with generator A. We prove that if the abscissa of uniform boundedness of the resolvent A is non-negative then for each a non-decreasing function h:[0,infty] -> [0,infty], there are x' in X' and x in X such that integral from 0 to infty of h(|< x',T(t)x)>| is equal to infty. If Sp(A) contained a number from iR then such x may be taken in D(A^infty)." @default.
- W1579487284 created "2016-06-24" @default.
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- W1579487284 date "2010-04-12" @default.
- W1579487284 modified "2023-09-27" @default.
- W1579487284 title "Obstructions for uniform stability of C_0-semigroup" @default.
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- W1579487284 doi "https://doi.org/10.48550/arxiv.1004.1916" @default.
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