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Dixon, P.G. (1976) The von Neumann Inequality for Polynomials of Degree Greater than Two. Journal of the London Mathematical Society, s2-14, 369-375.
https://doi.org/10.1112/jlms/s2-14.2.369

has been cited by the following article:

• TITLE: On Unitary N-Dilations for Tuples of Circulant Contractions and von Neumann’s Inequality

  AUTHORS: Joachim Moussounda Mouanda, Edwige Josette Maleka Koubemba, Djagwa Dehainsala

  KEYWORDS: Dilations, Polynomials, Matrices

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.13 No.4, December 13, 2023

  ABSTRACT: We introduce the spectral mapping factorization of tuples of circulant matrices and its matrix version. We prove that every tuple of circulant contractions has a unitary N-dilation. We show that von Neumann’s inequality holds for tuples of circulant contractions. We construct completely contractive homomorphisms over the algebra of complex polynomials defined on .