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math.FA2017★ 6 cited
Some sufficient conditions for existence of hyperinvariant subspaces for operators intertwined with unitaries
Maria F. Gamal'
For a power bounded or polynomially bounded operator sufficient conditions for the existence of a nontrivial hyperinvariant subspace are given. The obtained hyperinvariant subs…
math.FA2017★ 1 cited
One dimensional perturbations of unitaries that are quasiaffine transforms of singular unitaries, and multipliers between model spaces
Maria F. Gamal'
It is shown that, under some natural additional conditions, an operator which intertwines one cyclic singular unitary operator with one dimensional perturbation of another cyclic s…