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Chaotic extensions of operators on Hilbert subspaces

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

If M is a closed subspace of a separable, infinite dimensional Hilbert space H with dim (H/M) = ∞, we show that every bounded linear operator A: M → M can be extended to a chaotic operator T: H → H that satisfies the hypercyclicity criterion in the strongest possible sense.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH, 43403, USA

    Kit C. Chan & G. Turcu

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  1. Kit C. Chan
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  2. G. Turcu
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Correspondence to Kit C. Chan.

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Chan, K.C., Turcu, G. Chaotic extensions of operators on Hilbert subspaces. RACSAM 105, 415–421 (2011). https://doi.org/10.1007/s13398-011-0029-3

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  • DOI: https://doi.org/10.1007/s13398-011-0029-3

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