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Invariant subspaces of submarkovian semigroups

✍ Scribed by A. F. M. ter Elst; Derek W. Robinson

Publisher
Springer
Year
2008
Tongue
English
Weight
127 KB
Volume
8
Category
Article
ISSN
1424-3199

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πŸ“œ SIMILAR VOLUMES

Volterra Semigroups Have Invariant Subsp
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✍ Yu.V. Turovskii πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 111 KB

It is proved that any multiplicative semigroup consisting of compact quasinilpotent operators on a Banach space is triangularizable. The consequences are discussed.

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✍ Grega Cigler; Roman DrnovΕ‘ek; Damjana Kokol-BukovΕ‘ek; MatjaΕΎ Omladič; Thomas J. πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 239 KB

269 305) that a semigroup of matrices is triangularizable if the ranks of all the commutators of elements of the semigroup are at most 1. Our main theorem is an extension of this result to semigroups of algebraic operators on a Banach space. We also obtain a related theorem for a pair [A, B] of arbi