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Uniform Embeddings of Free Products into Uniformly Convex Banach Spaces
Author(s) -
Chen Xiaoman,
Wang Qin
Publication year - 2006
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/s0024609305018114
Subject(s) - mathematics , uniformly convex space , regular polygon , banach space , pure mathematics , banach manifold , lp space , geometry
Let A and B be countable discrete groups, and let Γ = A * B be their free product. We show that if A and B are uniformly embeddable into a uniformly convex Banach space, then so is Γ. 2000 Mathematics Subject Classification 46L89, 20F65.