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

Mouanda, Joachim Moussounda and Koubemba, Edwige Josette Maleka and Dehainsala, Djagwa (2023) On Unitary N-Dilations for Tuples of Circulant Contractions and von Neumann’s Inequality. American Journal of Computational Mathematics, 13 (04). pp. 594-606. ISSN 2161-1203

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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 .

Item Type: Article
Subjects: Opene Prints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 09 Jan 2024 08:52
Last Modified: 09 Jan 2024 08:52
URI: http://geographical.go2journals.com/id/eprint/3379

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