The Caratheodory-Fejer Interpolation Problems and the Von-Neumann inequality
The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the Carathéodory-Fejérinterpolation problem on the polydisc$\D^n. $ in the special ca...
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| Language: | en_US |
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2018
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| Online Access: | http://etd.iisc.ernet.in/2005/3640 http://etd.iisc.ernet.in/abstracts/4510/G26910-Abs.pdf |