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- W2002477048 abstract "Let X be a Hilbert space and let T = (T1),,, be a C, semigroup of linear operators on X, with generator A. The aim of this paper is to show how information about the behavior of T, for large t can be obtained from information about the behavior of the resolvent (slA)-’ for s with large imaginary part, and vice versa. In particular, the type of U can easily be determined if we know on which vertical lines in the complex plane the resolvent is bounded. We start by defining a sequence of numbers (oU,), which give information about the behavior of the semigroup for large t." @default.
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- W2002477048 date "1990-01-01" @default.
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- W2002477048 title "The resolvent growth assumption for semigroups on Hilbert spaces" @default.
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- W2002477048 doi "https://doi.org/10.1016/0022-247x(90)90438-l" @default.
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