Equivalence constants for the lp-norms and the lq-symmetric multilinear operator norms of vectors in Cn

Sung Guen Kim

doi:10.4134/CKMS.c190224

Equivalence constants for the l_p-norms and the l_q-symmetric multilinear operator norms of vectors in Cⁿ

Sung Guen Kim

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Abstract

We investigate the best equivalence constants for the l_p-norms and the l_q-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.

Original language	English
Pages (from-to)	565-570
Number of pages	6
Journal	Communications of the Korean Mathematical Society
Volume	35
Issue number	2
DOIs	https://doi.org/10.4134/CKMS.c190224
State	Published - 2020

Keywords

Equivalence constants for certain norms on C

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10.4134/CKMS.c190224

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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.",

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Equivalence constants for the l_p-norms and the l_q-symmetric multilinear operator norms of vectors in Cⁿ

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