# zbMATH — the first resource for mathematics

On a conjecture of L. Veselý. (English) Zbl 0894.46012
Summary: The aim of this note is to give a negative answer to a question raised by L. Veselý during the Winter School held in Benešova Hora in January 1996. We show that there exists a separable Banach space $$Z$$ such that for any point $$z$$ in the unit sphere there is some linear functional which strongly exposes the unit ball at $$z$$, but on which there is a linear functional which exposes the unit ball without exposing it strongly.
##### MSC:
 46B20 Geometry and structure of normed linear spaces
Full Text: