On the duality problem for weakly compact, strictly singular operators

Author： González Manuel  

Publisher： Taylor & Francis Ltd

ISSN： 1607-3606

Source： Quaestiones Mathematicae, Vol.28, Iss.1, 2005-03, pp. : 37-38

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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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