Dense range perturbations of hypercyclic operators

DOI10.4064/CM91-2-7zbMATH Open1006.47007OpenAlexW2017511795MaRDI QIDQ2773350

Luis Bernal-González

Publication date: 21 February 2002

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm91-2-7

zbMATH Keywords

perturbationgeneralized kernelalmost hypercyclic operators and sequencesdense range sequenceone-to-one sequencetotally weakly non-densetotally weakly nowhere dense

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of locally convex spaces (46A03) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (4)

The density of the hypercylic operators in the strong operator topology ⋮ On convex-cyclic operators ⋮ Multi-hypercyclic operators are hypercyclic ⋮ Somewhere dense Cesàro orbits and rotations of Cesàro hypercyclic operators

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