Metric Entropy of Convex Hulls in Banach Spaces | Zendy

Carl Bernd | Zendy; Kyrezi Ioanna | Zendy; Pajor Alain | Zendy

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Metric Entropy of Convex Hulls in Banach Spaces

Author(s) -

Carl Bernd,

Kyrezi Ioanna,

Pajor Alain

Publication year - 1999

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610799008005

Subject(s) - mathematics , banach space , convex hull , regular polygon , hilbert space , hull , metric space , entropy (arrow of time) , pure mathematics , uniformly convex space , combinatorics , discrete mathematics , banach manifold , lp space , geometry , physics , quantum mechanics , marine engineering , engineering

The paper presents diverse methods for estimating the covering number of a precompact subset of a Banach space when the entropy of the set of its extremal points is already known. In the case of a Hilbert space, the Gelfand diameters of the subset are also estimated.

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