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On power-bounded operators and operators satisfying a resolvent condition

✍ Scribed by John J. H. Miller


Publisher
Springer-Verlag
Year
1967
Tongue
English
Weight
464 KB
Volume
10
Category
Article
ISSN
0029-599X

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Let E be a compact subset of the unit circle. We determine the extremal rate of growth of Γ°jjT n jjÞ n51 for Banach-space operators T satisfying the resolvent condition jjΓ°T Γ€ lIÞ Γ€1 jj4 const: distΓ°l; EÞ Γ°jlj > 1Þ: This includes, as extreme cases, the Kreiss condition E ΒΌ T and the Ritt condition