Covariant version of the Stinespring type theorem for Hilbert C*-modules

Maria Joiţa1
1Department of Mathematics, University of Bucharest, Bucharest, Romania

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Tài liệu tham khảo

Arambašić L., Irreducible representations of Hilbert C*-modules, Math. Proc. R. Ir. Acad., 2005, 105A(2), 11–24

Asadi M.B., Stinespring’s theorem for Hilbert C*-modules, J. Operator Theory, 2008, 62(2), 235–238

Bakić D., Guljaš B., On a class of module maps of Hilbert C*-modules, Math. Commun., 2002, 7(2), 177–192

Bhat B.V.R., Ramesh G., Sumesh K., Stinespring’s theorem for maps on Hilbert C*-modules, J. Operator Theory, preprint available at http://arxiv.org/abs/1001.3743

Joiţa M., Crossed products of pro-C*-algebras and Morita equivalence, Mediterr. J. Math., 2008, 5(4), 467–492

Joiţa M., Covariant representations for Hilbert C*-modules (in preparation)

Kusuda M., Duality for crossed products of Hilbert C*-modules, J. Operator Theory, 2008, 60(1), 85–112

Lance E.C., Hilbert C*-modules, London Math. Soc. Lecture Note Ser., 210, Cambridge University Press, Cambridge, 1995

Paulsen V., A covariant version of Ext, Michigan Math. J., 1982, 29(2), 131–142

Scutaru H., Some remarks on covariant completely positive linear maps on C*-algebras, Rep. Math. Phys., 1979, 16(1), 79–87

Stinespring W.F., Positive functions on C*-algebras, Proc. Amer. Math. Soc., 1955, 6(2), 211–216

Tabadkan G.A., Skeide M., Generators of dynamical systems on Hilbert modules, Commun. Stoch. Anal., 2007, 1(2), 193–207