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BANACH SPACES WITH SEPARABLE DUALS SUPPORT DUAL HYPERCYCLIC OPERATORS

Published online by Cambridge University Press:  09 August 2007

HÉCTOR N. SALAS
HÉCTOR N. SALAS*
Affiliation:
Department of Mathematics, University of Puerto Rico, Mayagüez, Puerto Rico 00681 e-mail: salas@math.uprm.edu
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Abstract

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Let E be a Banach space such that its dual E* is separable. We show that there exists a hypercyclic bounded operator T on E such that its adjoint T* is also hypercyclic on E*. We also exhibit a new kind of dual hypercyclic operator. Thus answers affirmatively two of the questions raised by Henrik Petersson in a recent paper.

Keywords

Primary 47A1647A05Secondary 47B37
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 2 , May 2007 , pp. 281 - 290
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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