Commutators of quasinilpotents and invariant subspaces
نویسندگان
چکیده
منابع مشابه
Common Invariant Subspaces from Small Commutators
We study the following question: suppose that A and B are two algebras of complex n×n matrices such that the ring commutator [A, B] = AB−BA is “small” for each A ∈ A and B ∈ B. Does this imply that A and B have a common non-trivial invariant subspace? This question is motivated by a series of papers studying the structure of “almost-commutative” algebras and, more generally, semigroups. A simpl...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1998
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-128-2-159-169