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The Geometry of Convex Transitive Banach Spaces
Author(s) -
Becerra Guerrero Julio,
Rodriguez Palacios Angel
Publication year - 1999
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/s0024609398005359
Subject(s) - mathematics , unit sphere , surjective function , banach space , mathematics subject classification , regular polygon , transitive relation , pure mathematics , banach manifold , lp space , combinatorics , geometry
Throughout this paper, X will denote a Banach space, S = S ( X ) and B = B ( X ) will be the unit sphere and the closed unit ball of X , respectively, and G=G( X ) will stand for the group of all surjective linear isometries on X . Unless explicitly stated otherwise, all Banach spaces will be assumed to be real. Nevertheless, by passing to real structures, the results remain true for complex spaces. 1991 Mathematics Subject Classification 46B04, 46B10, 46B22.