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Projections onto invariant subspaces of some banach algebras

✍ Scribed by Ali Ghaffari


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
161 KB
Volume
24
Category
Article
ISSN
1439-7617

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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