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On a characterization of polynomials amo...
Okuyama, Yûsuke...
On a characterization of polynomials among rational functions in non-archimedean dynamics by Okuyama, Yûsuke ( Author )
N.A
01-01-2015
We show that every multivariable contractive weighted shift dilates to a tuple of commuting unitaries, and hence satisfies von Neumann's inequality. This answers a question of Lubin and Shields. We also exhibit a closely related 3-tuple of commuting contractions, similar to Parrott's example, which does not dilate to a 3-tuple of commuting unitaries.
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http://arxiv.org/abs/1508.01589
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