Thick sets in Banach spaces and their properties

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Thick sets in Banach spaces and their properties

Olav Nygaard

Abstract

We make a survey over results involving the concepts thick and w*-thick set and provide a lot of known such sets. We show that the long standing “separable quotient problem” and a problem from function theory are closely connected to thickness.

Keywords: Thick set, w*-thick set

Quaestiones Mathematicae 29(2005), 59–72

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Quaestiones Mathematicae. ISSN: 1607-3606

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