Proceedings of the American Mathematical Society

Author(s): C.-G. Ambrozie; D. Timotin
Journal: Proc. Amer. Math. Soc. 131 (2003), 859-869.
MSC (2000): Primary 47A13, 47A57
Posted: July 2, 2002
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Abstract: Strict contractions on a Hilbert space have a functional calculus with functions that are analytic in the unit disc of the complex plane; an estimate of the norm is then provided by von Neumann's inequality. We consider functions that satisfy related inequalities with respect to multioperators connected to certain domains in ${\mathbf C}^n$ ; a representation formula and a Nevanlinna-Pick type theorem are obtained.

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C.-G. Ambrozie
Affiliation: Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania
Email: cambroz@stoilow.imar.ro

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