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- W3096243075 abstract "The Ulam stability of the composition of two Ulam stable operators has been investigated by several authors. Composition of operators is a key concept when speaking about C0-semigroups. Examples of C0-semigroups formed with Ulam stable operators are known. In this paper, we construct a C0-semigroup (Rt)t≥0 on C[0,1] such that for each t>0, Rt is Ulam unstable. Moreover, we compute the central moments of Rt and establish a Voronovskaja-type formula. This enables to prove that C2[0,1] is contained in the domain D(A) of the infinitesimal generator of the semigroup. We raise the problem to fully characterize the domain D(A)." @default.
- W3096243075 created "2020-11-09" @default.
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- W3096243075 date "2020-11-07" @default.
- W3096243075 modified "2023-09-30" @default.
- W3096243075 title "A C0-Semigroup of Ulam Unstable Operators" @default.
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- W3096243075 doi "https://doi.org/10.3390/sym12111844" @default.
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