Von Neumann-Jordan constant, James constant, and Dunkl-Williams constant for small Morrey spaces
DOI:
https://doi.org/10.62918/hjma.v1i1.1Keywords:
Morrey Spaces, Dunkl-William Constant, James Constant, Von Neumann-Jordan ConstantAbstract
In this article, we compute Von-Neumann-Jordan constant, James constant, and Dunkl-Williams constant for small Morrey spaces. We find that the three constants are the same as those for the classical Morrey spaces.
References
J. A. Clarkson, The Von Neumann–Jordan constant for the Lebesgue spaces, Ann. Math. 38-1 (1937), 114–115.
J. Gao and K.-S. Lau, On the geometry of spheres in normed linear spaces, J. Austral. Math. Soc. 48-1 (1990), 101–112.
H. Gunawan, E. Kikianty, Y. Sawano, and C. Schwanke, Three geometric constants for Morrey spaces, Bull. Korean Math. Soc. 56 (2019), 1569–1575.
A. Jimenez-Melado, E. Llorens-Fuster, and E. Mazcun ́an-Navarro, The Dunkl–Williams constant, convexity, smoothness and normal structure, J. Math. Anal. Appl. 342-1 (2008), 298–310.
P. Jordan and J. Von Neumann, On inner products in linear, metric spaces, Ann. Math. 36 (1935), 719–723.
Y. Sawano, A thought on generalized Morrey spaces, J. Indones. Math. Soc. 25-3 (2019), 210–281
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Hilbert Journal of Mathematical Analysis is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.