The Second Dual of a C*-Ternary Ring
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 241-246

Voir la notice de l'article provenant de la source Cambridge University Press

The Arens extension of the triple product of an associative triple system is studied. Using a representation theorem for C*-ternary rings due to Zettl, it is shown that the second dual of a C*-ternary ring is itself a C*-ternary ring
DOI : 10.4153/CMB-1983-038-x
Mots-clés : Primary- 46L05, 46L10 Secondary- 16A99
Landesman, E. M.; Russo, Bernard. The Second Dual of a C*-Ternary Ring. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 241-246. doi: 10.4153/CMB-1983-038-x
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[1] 1. Arens, R., Operations induced in function classes, Monat. für Math. 55 (1951) 1–19. Google Scholar

[2] 2. Bonsall, F. F. and Duncan, J., Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras, Lon. Math. Soc. Lecture Note Series. 2, 1971. Google Scholar

[3] 3. Bonsall, F. F., Complete Normed Algebras, Springer-Verlag, 1973. Google Scholar

[4] 4. Dixmier, J., Les algebres d'operateurs dans Vaspace Hilbertien, Gauthier Villars, 1957, 2nd edition 1969. Google Scholar

[5] 5. Dixmier, J., Les C*-algebres et leurs representations, Gauthier Villars, 1964, 2nd edition 1969. Google Scholar

[6] 6. Friedman, Y. and Russo, B., Contractive projections on C(K), Trans, A.M.S. 273 (1982) 57–73. Google Scholar

[7] 7. Harris, L., Bounded symmetric homogeneous domains in infinite dimensional spaces, Lect. Notes in Math., No. 364, Springer (1973) 13–40. Google Scholar

[8] 8. Hestenes, M. R., A ternary algebra with applications to matrices and linear transformations, Arch. Rat. Mech. An. 11 (1962) 138–194. Google Scholar

[9] 9. Hestenes, M. R., Relative self adjoint operators in Hilbert space, Pac. J. Math. 11 (1961) 1315–1357. Google Scholar

[10] 10. Lister, W. G., Ternary rings, Trans. A.M.S. 154 (1971) 37–55. Google Scholar

[11] 11. Loos, O., Assoziative Tripelsysteme, Manu. Math. 7 (1972) 103–112. Google Scholar

[12] 12. Zettl, H. H., A characterization of ternary rings of operators, preprint, Saarbrucken, 1979. Google Scholar

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