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Is –A-1 an Infinitesimal Generator?

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Document pages: 9 pages

Abstract: There are some researchers considering the problem whether A-1 is thegenerator of a bounded C0-semigroupif A generates a bounded C0-semigroup. Actually, it isa very basic and important problem. In this paper, we discuss whether -A-1 is thegenerator of a bounded α-timesresolvent family if -A generates abounded α-times resolvent family.

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