Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On the Radon-Nikodým property in Jordan triples
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by Cho-Ho Chu and Bruno Iochum
Proc. Amer. Math. Soc. 99 (1987), 462-464
DOI: https://doi.org/10.1090/S0002-9939-1987-0875381-9
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Abstract:

Given a JBW*-triple $U$, we determine when its predual ${U_*}$ and dual ${U^*}$ possess the Radon-Nikodým property.
References
    T. Barton and R. M. Timoney, On biduals, preduals and ideals of JB*-triples, Preprint, 1985.
  • Cho-Ho Chu, On the Radon-Nikodým property in Jordan algebras, Glasgow Math. J. 24 (1983), no. 2, 185–189. MR 706149, DOI 10.1017/S0017089500005279
  • Cho-Ho Chu, The Radon-Nikodým property in operator algebras, Operator algebras and group representations, Vol. I (Neptun, 1980) Monogr. Stud. Math., vol. 17, Pitman, Boston, MA, 1984, pp. 65–70. MR 731764
  • J. Diestel and J. J. Uhl Jr., Vector measures, Mathematical Surveys, No. 15, American Mathematical Society, Providence, R.I., 1977. With a foreword by B. J. Pettis. MR 0453964, DOI 10.1090/surv/015
  • Seán Dineen, The second dual of a JB$^*$ triple system, Complex analysis, functional analysis and approximation theory (Campinas, 1984) North-Holland Math. Stud., vol. 125, North-Holland, Amsterdam, 1986, pp. 67–69. MR 893410
  • Yaakov Friedman and Bernard Russo, Structure of the predual of a $JBW^\ast$-triple, J. Reine Angew. Math. 356 (1985), 67–89. MR 779376, DOI 10.1515/crll.1985.356.67
    • —, The Gelfand-Naimark theorem for JB*-triples, Preprint, 1985. G. Horn, Klassifikation der JBW*-tripel vom Typ I, Dissertation, Tübingen, 1984.
  • Wilhelm Kaup, A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces, Math. Z. 183 (1983), no. 4, 503–529. MR 710768, DOI 10.1007/BF01173928
  • Daniel Li, Espaces $L$-facteurs de leurs biduaux: bonne disposition, meilleure approximation et propriété de Radon-Nikodým, Quart. J. Math. Oxford Ser. (2) 38 (1987), no. 150, 229–243 (French, with English summary). MR 891618, DOI 10.1093/qmath/38.2.229
  • Robert Schatten, A Theory of Cross-Spaces, Annals of Mathematics Studies, No. 26, Princeton University Press, Princeton, N. J., 1950. MR 0036935
  • Lawrence A. Harris, A generalization of $C^{\ast }$-algebras, Proc. London Math. Soc. (3) 42 (1981), no. 2, 331–361. MR 607306, DOI 10.1112/plms/s3-42.2.331
  • Tom Barton and Gilles Godefroy, Remarks on the predual of a $\textrm {JB}^\ast$-triple, J. London Math. Soc. (2) 34 (1986), no. 2, 300–304. MR 856513, DOI 10.1112/jlms/s2-34.2.300
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 462-464
  • MSC: Primary 46L70; Secondary 17C65, 32M15, 46B22
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0875381-9
  • MathSciNet review: 875381