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Crabb, M.J. and Davie, A.M. (1975) von Neumann’s Inequality for Hilbert Space Operators. Bulletin of the London Mathematical Society, 7, 49-50.
https://doi.org/10.1112/blms/7.1.49

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 .