On a new geometric constant related to the von Neumann-Jordan constant |
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| Authors: | Changsen Yang |
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| Institution: | a Department of Mathematics, Henan Normal University, Xinxiang, Henan 453007, China
b Department of Mathematics, Luoyang Normal University, Luoyang, Henan 471022, China |
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| Abstract: | The von Neumann-Jordan constant CNJ(X) is computed for X being ?2−?1 and ?∞−?1 space by introducing a new geometric constant γX(t). These partly give an answer to an open question posed by Kato et al. Some basic properties of this new coefficient are investigated. Moreover, we obtain a new class of Banach spaces with uniform normal structure. |
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| Keywords: | Von Neumann-Jordan constant Uniform non-squareness Uniform normal structure |
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