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http://dx.doi.org/10.4134/CKMS.c190224

EQUIVALENCE CONSTANTS FOR THE 𝑙p-NORMS AND THE 𝑙q-SYMMETRIC MULTILINEAR OPERATOR NORMS OF VECTORS IN ℂn  

Kim, Sung Guen (Department of Mathematics Kyungpook National University)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.2, 2020 , pp. 565-570 More about this Journal
Abstract
We investigate the best equivalence constants for the 𝑙p-norms and the 𝑙q-symmetric multilinear operator norms of vectors in ℂn which are induced by symmetric n-linear forms. In this paper, we provides estimates which are either best possible or close to best possible.
Keywords
Equivalence constants for certain norms on ${\mathbb{C}}^n$;
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1 S. Dineen, Complex Analysis on Infinite-Dimensional Spaces, Springer Monographs in Mathematics, Springer-Verlag London, Ltd., London, 1999. https://doi.org/10.1007/978-1-4471-0869-6
2 B. Q. Feng, Equivalence constants for certain matrix norms, Linear Algebra Appl. 374 (2003), 247-253. https://doi.org/10.1016/S0024-3795(03)00616-5   DOI
3 B. Q. Feng and A. Tonge, Equivalence constants for certain matrix norms. II, Linear Algebra Appl. 420 (2007), no. 2-3, 388-399. https://doi.org/10.1016/j.laa.2006.07.015   DOI
4 A. Tonge, Equivalence constants for matrix norms: a problem of Goldberg, Linear Algebra Appl. 306 (2000), no. 1-3, 1-13. https://doi.org/10.1016/S0024-3795(99)00155-X   DOI
5 M. Goldberg, Equivalence constants for lp norms of matrices, Linear and Multilinear Algebra 21 (1987), no. 2, 173-179. https://doi.org/10.1080/03081088708817789   DOI