Abstract
Let E be a Banach space, and let L (E) denote the Banach algebra of all bounded linear operators on E. A nontrivial hyperinvariant subspace for an operator A in L (E) is a nonzero, proper, (closed) subspace of E which is invariant under any operator in {A}′, the commutant of A.
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Chevreau, B. (1982). Intertwinings and Hyperinvariant Subspaces. In: Apostol, C., Douglas, R.G., Sz.-Nagy, B., Voiculescu, D., Arsene, G. (eds) Invariant Subspaces and Other Topics. Operator Theory: Advances and Applications, vol 6. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5445-0_4
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DOI: https://doi.org/10.1007/978-3-0348-5445-0_4
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