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Title: Banach spaces that realize minimal fillings

It is proved that a real Banach space realizes minimal fillings for all its finite subsets (a shortest network spanning a fixed finite subset always exists and has the minimum possible length) if and only if it is a predual of L{sub 1}. The spaces L{sub 1} are characterized in terms of Steiner points (medians). Bibliography: 25 titles. (paper)
Authors:
;  [1]
  1. Faculty of Mechanics and Mathematics, Moscow State University (Russian Federation)
Publication Date:
OSTI Identifier:
22365288
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 4; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; BANACH SPACE; LENGTH; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; SET THEORY