Geodesic
BANACH SPACES WITH SEPARABLE DUALS SUPPORT DUAL HYPERCYCLIC OPERATORS
Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 281-290

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DOI

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.
DOI : 10.1017/S0017089507003692
Mots-clés : Primary 47A16, 47A05, Secondary 47B37 
SALAS, HÉCTOR N. BANACH SPACES WITH SEPARABLE DUALS SUPPORT DUAL HYPERCYCLIC OPERATORS. Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 281-290. doi: 10.1017/S0017089507003692
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     title = {BANACH {SPACES} {WITH} {SEPARABLE} {DUALS} {SUPPORT} {DUAL} {HYPERCYCLIC} {OPERATORS}},
     journal = {Glasgow mathematical journal},
     pages = {281--290},
     year = {2007},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003692/}
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