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Manifolds of tripotents in JB*-triples
Authors:C.-H. Chu  J.M. Isidro
Affiliation:(1) Goldsmiths college, University of London, London SE14 6NW, UK (e-mail: maa01chc@gold.ac.uk) , GB
Abstract:
Abstract. We describe the affine connections, geodesics and symmetries of various Banach manifolds of tripotents in JB*-triples which include the C*-algebras and Hilbert spaces where the nonzero tripotents are respectively the partial isometries and the extreme points of the closed unit ball. Received July 7, 1998; in final form November 16, 1998
Keywords:Mathematics Subject Classification (1991):46G20   46L70   58B20   17C65
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