Mouanda, Joachim Moussounda (2021) On Von Neumann’s Inequality for Matrices of Complex Polynomials. American Journal of Computational Mathematics, 11 (04). pp. 289-303. ISSN 2161-1203
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Official URL: https://doi.org/10.4236/ajcm.2021.114019
Abstract
We prove that every matrix F∈Mk (Pn) is associated with the smallest positive integer d (F)≠1 such that d (F)‖F‖∞ is always bigger than the sum of the operator norms of the Fourier coefficients of F. We establish some inequalities for matrices of complex polynomials. In application, we show that von Neumann’s inequality holds up to the constant 2n for matrices of the algebra Mk (Pn).
Item Type: | Article |
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Subjects: | Librbary Digital > Mathematical Science |
Depositing User: | Unnamed user with email support@librbarydigit.com |
Date Deposited: | 14 Jun 2023 10:58 |
Last Modified: | 05 Sep 2024 11:46 |
URI: | http://info.openarchivelibrary.com/id/eprint/942 |