Preprint No. A-99-25

Dirk Werner, Olav Nygaard

Slices in the unit ball of a uniform algebra

Abstract: We show that every nonvoid relatively weakly open subset, in particular every slice, of the unit ball of an infinite-dimensional uniform algebra has diameter~$2$.

Keywords: Uniform algebra, slice, denting point

Mathematics Subject Classification (MSC91): 46B20 Geometry and structure of normed linear spaces

Language: ENG

Available: Pr-A-99-25.ps

Contact: Werner, Dirk; Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (werner@math.fu-berlin.de)

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