The existence of invariant subspaces (original) (raw)

A note on invariant subspaces of some operators

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Abstract. Let T = (T1,...,Tn) be a von Neumann n-tuple of commuting Hilbert space operators of class C00 with dominating Taylor spectrum. Then T has a nontrivial joint invariant subspace. Stronger results can be obtained if T possesses a dilation

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