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Hypercyclic and supercyclic cohyponormal operators. (English) Zbl 0997.47004
Summary: We give a sufficient condition involving local spectra for an operator on a separable Banach space to be hypercyclic. Similar conditions are given for supercyclicity. These spectral conditions allow us to characterize the hyponormal operators with hypercyclic adjoints and those with supercyclic adjoints.

MSC:
47A10 Spectrum, resolvent
47A11 Local spectral properties of linear operators
47A16 Cyclic vectors, hypercyclic and chaotic operators
47B20 Subnormal operators, hyponormal operators, etc.
47B40 Spectral operators, decomposable operators, well-bounded operators, etc.
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