Invariant subspaces for translation, dilation and multiplication semigroups
✍ Scribed by Eva A. Gallardo-Gutiérrez; Jonathan R. Partington
- Book ID
- 107526892
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 216 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0021-7670
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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