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What Kind of operators have few invariant subspaces?

✍ Scribed by Sing-Cheong Ong


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
284 KB
Volume
95
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


Invariant Subspaces for Semigroups of Al
✍ 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