On the duality problem for weakly compact, strictly singular operators

Original Articles

On the duality problem for weakly compact, strictly singular operators

Published in: Quaestiones Mathematicae
Volume 28 , issue 1 , 2005 , pages: 37–38
DOI: 10.2989/16073600509486113
Author(s): Manuel González
Keywords: STRICTLY SINGULAR OPERATORS , WEAKLY COMPACT OPERATORS , DUALITY
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Abstract

We show that there exists a weakly compact, strictly singular operator T such that the conjugate operator T * is not strictly cosingular. This example gives a negative answer to an old question of Pełczyński.
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