Weak limits of the extreme dual ball in JB*-triples |
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| Authors: | L. J. Bunce B. Sheppard |
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| Affiliation: | 1.Department of Mathematics, University of Reading, Reading, RG6 6AX,?England. e-mail: l.j.bunce@reading.ac.uk,GB;2.University College Dublin, Belfield, Dublin 4, Ireland.?e-mail: barnaby.sheppard@ucd.ie,IE |
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| Abstract: | ![]()
We study weak limits of the extreme points, ∂ e (E * 1), of the dual ball of a JB*-triple, E. We show that all such weak limits, except possibly the zero functional, are weak sequential limits and we discuss implications for the structure of E. Received: 9 April 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 17C65 32M15 46B20 |
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