This article is cited in 8 papers

A criterion of smooth generating sets

G. E. Ivanov

Moscow Institute of Physics and Technology

Abstract: For a smooth strictly convex set in a reflexive Banach space a criterion is given for this set to be generating. This criterion enabled us to discover new classes of generating sets.
Bibliography: 6 titles.

UDC: 517.982.252

MSC: Primary 46B20; Secondary 52A07

Received: 16.12.2005

DOI: 10.4213/sm1481

 English version: Sbornik: Mathematics, 2007, 198:3, 343–368

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