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- W2050878892 abstract "Two conjectures on admissible control operators by George Weiss are disproved in this paper. One conjecture says that an operator $B$ defined on an infinite-dimensional Hilbert space $U$ is an admissible control operator if for every element $u in U$ the vector $Bu$ defines an admissible control operator. The other conjecture says that $B$ is an admissible control operator if a certain resolvent estimate is satisfied. The examples given in this paper show that even for analytic semigroups the conjectures do not hold. In the last section we construct a semigroup example showing that the first estimate in the Hille-Yosida theorem is not sufficient to conclude boundedness of the semigroup." @default.
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- W2050878892 date "2003-03-01" @default.
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- W2050878892 title "Weak admissibility does not imply admissibility for analytic semigroups" @default.
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- W2050878892 doi "https://doi.org/10.1016/s0167-6911(02)00277-3" @default.
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