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Classes of Invariant Subspaces for Some Operator Algebras

โœ Scribed by Jan Hamhalter, Ekaterina Turilova


Book ID
120967777
Publisher
Springer
Year
2013
Tongue
English
Weight
509 KB
Volume
53
Category
Article
ISSN
0020-7748

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Invariant Subspaces for Semigroups of Al
โœ Grega Cigler; Roman Drnovลกek; Damjana Kokol-Bukovลกek; Matjaลพ Omladiฤ; Thomas J. ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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