Seven Views on Approximate Convexity and the Geometry of  K ‐Spaces | Zendy

Sánchez Félix Cabello | Zendy; Castillo Jesús M. F. | Zendy; Papini Pier L. | Zendy

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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.

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