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A von Neumann type inequality for certain domains in |
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| Authors: | C.-G. Ambrozie D. Timotin |
| Affiliation: | Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania ; Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania |
| 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  ; a representation formula and a Nevanlinna-Pick type theorem are obtained. |
| Keywords: | Von Neumann inequality multioperators Nevanlinna--Pick problem |
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