Resolvent conditions and powers of operators
Tom 145 / 2001
Studia Mathematica 145 (2001), 113-134
MSC: 47A10, 30G30.
DOI: 10.4064/sm145-2-2
Streszczenie
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 function.