Invariant Subspaces for Semigroups of Al
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Grega Cigler; Roman DrnovΕ‘ek; Damjana Kokol-BukovΕ‘ek; MatjaΕΎ OmladiΔ; Thomas J.
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Article
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1998
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Elsevier Science
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English
β 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