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Entropy of Absolute Convex Hulls in Hilbert Spaces
Author(s) -
Gao Fuchang
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003121
Subject(s) - mathematics , convex hull , regular polygon , hull , absolute (philosophy) , geometry , composite material , philosophy , materials science , epistemology
The metric entropy of absolute convex hulls of sets in Hilbert spaces is studied for the general case when the metric entropy of the sets is arbitrary. Under some regularity assumptions, the results are sharp. 2000 Mathematical Subject Classification 41A46 (primary), 60G15 (secondary).