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math.FA2024★ 5 cited
Examples of cyclic polynomially bounded operators that are not similar to contractions
Maria F. Gamal'
A question if a polynomially bounded operator is similar to a contraction was posed by Halmos and was answered in the negative by Pisier. His counterexample is an operator of infin…
math.FA2024
On similarity to contractions of class with finite defects
Maria F. Gamal'
A criterion on the similarity of a (bounded, linear) operator on a (complex, separable) Hilbert space in terms of shift-type invariant subspaces of to a contra…
math.FA2024
On existence of hyperinvariant subspaces for quasinilpotent operators with a nonsymmetry in the growth of the resolvent
Maria F. Gamal'
Let be a quasinilpotent operator on a Banach space. Under assumptions of a certain nonsymmetry in the growth of the resolvent of , it is proved that every operator in the co…