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A Banach Space Whose Elements are Classes of Sets of Constant Width

Published online by Cambridge University Press:  20 November 2018

J. E. Lewis
J. E. Lewis*
Affiliation:
Department of Mathematics, University of British Columbia Vancouver, B.C. Canada
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Let K be a compact subset of the real Euclidean space En. We say that K has constant width if the distance between each pair of distinct parallel hyperplanes which support K is constant. The collection of all compact convex subsets of En which have constant width is denoted .

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975 , pp. 679 - 689
Copyright
Copyright © Canadian Mathematical Society 1975

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