On the numerical index of absolute symmetric norms on the plane

2020/02/18 by Merí, Javier, Quero, Alicia
#46B20 #47A12 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2002.07529

Abstract

We give a lower bound for the numerical index of two-dimensional real spaces with absolute and symmetric norm. This allows us to compute the numerical index of the two-dimensional real L_p-space for 3/2≤ p≤ 3.

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