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Continuous family of invariant subspaces for R–diagonal operators

✍ Scribed by Piotr Śniady; Roland Speicher


Book ID
105912723
Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
292 KB
Volume
146
Category
Article
ISSN
0020-9910

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Invariant Subspaces for Semigroups of Al
✍ Grega Cigler; Roman Drnovšek; Damjana Kokol-Bukovšek; Matjaž Omladič; Thomas J. 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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