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Invariant Subspaces of Subgraded Lie Algebras of Compact Operators

✍ Scribed by Matthew Kennedy; Victor S. Shulman; Yuri V. Turovskii


Publisher
SP Birkhäuser Verlag Basel
Year
2008
Tongue
English
Weight
423 KB
Volume
63
Category
Article
ISSN
0378-620X

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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