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seven views on approximate convexity and the geometry of $k$-spaces

Published online by Cambridge University Press:  04 October 2005

félix cabello sánchez ,
jesús m. f. castillo  and
pier l. papini
félix cabello sánchez
Affiliation:
departamento de matemáticas, universidad de extremadura, 06071-badajoz, spainfcabello@unex.es, castillo@unex.es
jesús m. f. castillo
Affiliation:
departamento de matemáticas, universidad de extremadura, 06071-badajoz, spainfcabello@unex.es, castillo@unex.es
pier l. papini
Affiliation:
dipartimento di matematica, universita di bologna, piazza porta s. donato 5, bologna, italypapini@dm.unibo.it
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Abstract

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.

Keywords

46b2052a0542a6526b25
Type
notes and papers
Information
Journal of the London Mathematical Society , Volume 72 , Issue 2 , October 2005 , pp. 457 - 477
Copyright
the london mathematical society 2005

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Footnotes

the research of the first and second authors is supported in part by dgicyt, project bmf-2001-0813.