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Eigenvalues and power growth |
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| Authors: | |
| Institution: | (1) Département de mathématiques et de statistique, Université Laval, G1K 7P4 Québec, QC, Canada |
| Abstract: | LetX be a complex Banach space and letT be a bounded linear operator onX. Denote by σ
p
(T) the point spectrum ofT and by
the unit circle. We investigate how the growth of the sequence ‖T
n
‖ is influenced by the size of the set
(T) and by the geometry of the spaceX. We also prove analogous results forC
0-semigroups(T
t
)t≥0.
Research partially supported by grants from NSERC, FQRNT and the Canada research chairs program. |
| Keywords: | |
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