2007Banach Center PublicationsOpen access

Is A-1an infinitesimal generator?

Hans Zwart

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Abstract

In this paper we study the question whether $A^{-1}$ is the infinitesimal generator of a bounded $C_0$-semigroup if $A$ generates a bounded $C_0$-semigroup. If the semigroup generated by $A$ is analytic and sectorially bounded, then the same holds f

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What this paper is about

In this paper we study the question whether $A^{-1}$ is the infinitesimal generator of a bounded $C_0$-semigroup if $A$ generates a bounded $C_0$-semigroup. If the semigroup generated by $A$ is analytic and sectorially bounded, then the same holds f

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Available abstract

In this paper we study the question whether $A^{-1}$ is the infinitesimal generator of a bounded $C_0$-semigroup if $A$ generates a bounded $C_0$-semigroup. If the semigroup generated by $A$ is analytic and sectorially bounded, then the same holds f

Key concepts: Bounded function, Semigroup, Infinitesimal, Generator (circuit theory), Mathematics, Discrete mathematics, Bounded operator, Pure mathematics

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