Premium
Seven Views on Approximate Convexity and the Geometry of K ‐Spaces
Author(s) -
Sánchez Félix Cabello,
Castillo Jesús M. F.,
Papini Pier L.
Publication year - 2005
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/s0024610705006770
Subject(s) - convexity , banach space , unit sphere , regular polygon , mathematics , affine transformation , geometry , uniformly convex space , unit (ring theory) , space (punctuation) , pure mathematics , mathematical analysis , lp space , eberlein–šmulian theorem , computer science , financial economics , economics , mathematics education , operating system
The interplay between the behaviour of approximately convex (and approximately affine) functions on the unit ball of a Banach space and the geometry of Banach K ‐spaces is studied.