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  • 1
    Electronic Resource
    Electronic Resource
    Classification of sequentially weakly continuous $JB^*$-triples (2000)
    Springer
    Mathematische Zeitschrift 234 (2000), S. 191-208 
    Details
    ISSN: 0025-5874
    Keywords: Mathematics Subject Classification (1991): 46L10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. Let D be the open unit ball of a $JB^*$ -triple A and let Aut(D) be the group of all biholomorphic automorphisms of D. It is shown that every element of Aut(D) is sequentially weakly continuous if and only if every primitive ideal of A is a maximal closed ideal and $A^{**}$ is a type I $JBW^*$ -triple without infinite-spin part. Implications for general structure theory are explored. In particular, it is deduced that every $JB^*$ -triple A contains a smallest ideal J for which the sequentially weakly continuous biholomorphic automorphisms of the open unit ball of A/J are all linear.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002090050509
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  • 2
    Electronic Resource
    Electronic Resource
    Manifolds of tripotents in JB*-triples (2000)
    Springer
    Mathematische Zeitschrift 233 (2000), S. 741-754 
    Details
    ISSN: 0025-5874
    Keywords: Mathematics Subject Classification (1991):46G20, 46L70, 58B20, 17C65
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002090050496
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