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arXiv · 2105.05417

On geometric constants for discrete Morrey spaces

Adam Adam·Hendra Gunawan
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Abstract

In this note we prove that the $n$-th Von Neumann-Jordan constant and the $n$-th James constant for discrete Morrey spaces $\ell^p_q$ where $1\le p<q<\infty$ are both equal to $n$. This result tells us that the discrete Morrey spaces are not uniformly non-$\ell^1$, and hence they are not uniformly $n$-convex.

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Adam Adam, Hendra Gunawan. 2021-05-12. On geometric constants for discrete Morrey spaces. https://arxiv.org/abs/2105.05417

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