Resolvent conditions and powers of operators
Olavi Nevanlinna
Abstract
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Olavi Nevanlinna
Abstract
Open-access reader
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
Key concepts: Resolvent, Resolvent formalism, Mathematics, Meromorphic function, Operator (biology), Unit (ring theory), Pure mathematics, Finite-rank operator