On operators T such that f(T) is hypercyclic.
Teresa Bermúdez, Vivien G. Miller (2000)
Extracta Mathematicae
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Teresa Bermúdez, Vivien G. Miller (2000)
Extracta Mathematicae
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Béla Nagy (2013)
Studia Mathematica
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Two characterizations of the reductivity of a cyclic normal operator in Hilbert space are proved: the equality of the sets of cyclic and *-cyclic vectors, and the equality L²(μ) = P²(μ) for every measure μ equivalent to the scalar-valued spectral measure of the operator. A cyclic subnormal operator is reductive if and only if the first condition is satisfied. Several consequences are also presented.
Froelich, John, Mathes, Ben (1995)
The New York Journal of Mathematics [electronic only]
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F. León Saavedra (2004)
Extracta Mathematicae
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We present some recent results related with supercyclic operators, also some of its consequences. We will finalize with new related questions.
Maria Jankiewicz (1974)
Applicationes Mathematicae
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David J. Grynkiewicz (2006)
Acta Arithmetica
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Yakovlev, A.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Ralph deLaubenfels (1989)
Studia Mathematica
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Mária Guregová, Alexander Rosa (1968)
Matematický časopis
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Edjvet, Martin, Hammond, Paul, Thomas, Nathan (2001)
Experimental Mathematics
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K. T. Phelps (1980)
Colloquium Mathematicae
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László Kérchy, Attila Szalai (2014)
Studia Mathematica
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The study of quasianalytic contractions, motivated by the hyperinvariant subspace problem, is continued. Special emphasis is put on the case when the contraction is asymptotically cyclic. New properties of the functional commutant are explored. Analytic contractions and bilateral weighted shifts are discussed as illuminating examples.