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TILINGS OF HILBERT SPACES

Part of: Normed linear spaces and Banach spaces; Banach lattices General convexity

Published online by Cambridge University Press:  29 April 2010

David Preiss
David Preiss*
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, U.K. (email: d.preiss@warwick.ac.uk)
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Abstract

It is shown that a separable Hilbert space can be covered by non-overlapping closed convex sets Ci with outer radii uniformly bounded from above and inner radii uniformly bounded from below. This answers a question originating from the work of Klee.

MSC classification

Secondary: 46B20: Geometry and structure of normed linear spaces 52A99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 56 , Issue 2 , July 2010 , pp. 217 - 230
Copyright
Copyright © University College London 2010

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References

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