Jarosz, Krzysztof ; Rao, T. S. S. R. K. (2012) Weak*extreme points of injective tensor product spaces Contemporary Mathematics . ISSN 02714132

PDF
 Publisher Version
214kB 
Official URL: http://www.siue.edu/MATH/kj_papers/jaroszrao.pdf
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 
Repository Staff Only: item control page