Vol. 85, No. 1, 1979

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Metric averaging in Euclidean and Hilbert spaces

Ralph Alexander

Vol. 85 (1979), No. 1, 1–9
Abstract

A number of geometric properties of sets in l2 can be measured in terms of maxima and minima of quadratic forms subject to side conditions. A method of metric addition which exploits this fact is investigated. The main objective is to develop a flexible method for attacking geometric extremal problems involving sums of distances or other metric constraints.

Mathematical Subject Classification 2000
Primary: 52A40
Milestones
Received: 5 March 1979
Published: 1 November 1979
Authors
Ralph Alexander