On geometric constants for discrete Morrey spaces
Adam Adam, Hendra Gunawan

TL;DR
This paper calculates specific geometric constants for discrete Morrey spaces, revealing their non-uniform convexity properties and contributing to the understanding of their geometric structure.
Contribution
It establishes that the Von Neumann-Jordan and James constants for discrete Morrey spaces are both equal to the space dimension n, a novel result.
Findings
Von Neumann-Jordan constant equals n
James constant equals n
Discrete Morrey spaces are not uniformly non-ell^1
Abstract
In this note we prove that the -th Von Neumann-Jordan constant and the -th James constant for discrete Morrey spaces where are both equal to . This result tells us that the discrete Morrey spaces are not uniformly non-, and hence they are not uniformly -convex.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Mathematical Analysis and Transform Methods
