2001Studia MathematicaOpen access

Resolvent conditions and powers of operators

Olavi Nevanlinna

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Abstract

We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic fun

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We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic fun

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Available abstract

We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic fun

Key concepts: Resolvent, Resolvent formalism, Mathematics, Meromorphic function, Operator (biology), Unit (ring theory), Pure mathematics, Finite-rank operator

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