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Title: Banach spaces that realize minimal fillings

Journal Article · · Sbornik. Mathematics

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)

OSTI ID:
22365288
Journal Information:
Sbornik. Mathematics, Vol. 205, Issue 4; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

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