Extreme points for convex mappings ofB
n |
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Authors: | Jerry R Muir Ted J Suffridge |
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Institution: | (1) Department of Mathematics, University of Scranton, 18510 Scranton, PA, USA;(2) Department of Mathematics, University of Kentucky, 40506 Lexington, KY, USA |
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Abstract: | We exhibit a collection of extreme points of the family of normalized convex mappings of the open unit ball of ℂ
n
forn≥2. These extreme points are defined in terms of the extreme points of a closed ball in the Banach space of homogeneous polynomials
of degree 2 in ℂ
n−1, which are fully classified. Two examples are given to show that there are more convex mappings than those contained in the
closed convex hull of the set of extreme points here exhibited. |
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Keywords: | |
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