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Extremal structure of the unit ball of direct sums of Banach spaces

✍ Scribed by Patrick N. Dowling; Satit Saejung

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 172 KB
Volume: 68
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.11.051

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✦ Synopsis

We characterize the extreme points and smooth points of the unit ball of certain direct sums of Banach spaces. We use these results to characterize noncreasiness and uniform noncreasiness of direct sums, thereby extending results of the second author [S. Saejung, Extreme points, smooth points and noncreasiness of ψ-direct sum of Banach spaces, Nonlinear Anal. 67 (2007) 1649-1653].

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