Weak*-extreme points of injective tensor product spaces

Jarosz, Krzysztof ; Rao, T. S. S. R. K. (2012) Weak*-extreme points of injective tensor product spaces Contemporary Mathematics . ISSN 0271-4132

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Abstract

We investigate weak*-extreme points of the injective tensor product spaces of the form A ⊗E, where A is a closed subspace of C (X) and E is a Banach space. We show that if x . X is a weak peak point of A then f (x) is a weak*-extreme point for any weak*-extreme point f in the unit ball of A⊗E ⊂ (X,E). Consequently, when A is a function algebra, f (x) is a weak*-extreme point for all x in the Choquet boundary of A; the conclusion does not hold on the Silov boundary.

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:92869
Deposited On:05 Jun 2012 10:14
Last Modified:19 May 2016 06:07

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