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Eigenvalues and hypercyclicity in omega

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Abstract

We define the class of upper staircase matrices on ω. Such matrices have a plethora of eigenvalues and eigenvectors, and they are hypercylic. We show that countably many strictly upper triangular matrices on ω which are also upper staircase have a common hypercyclic subspace. This last result partially extends a theorem of Bès and Conejero.

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Authors and Affiliations

  1. Department of Mathematics, University of Puerto Rico, Mayagüez, PR, 00681, USA

    Héctor N. Salas

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  1. Héctor N. Salas
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Correspondence to Héctor N. Salas.

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Salas, H.N. Eigenvalues and hypercyclicity in omega. RACSAM 105, 379–388 (2011). https://doi.org/10.1007/s13398-011-0008-8

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  • DOI: https://doi.org/10.1007/s13398-011-0008-8

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