Abstract
Recently, a new geometric constant called generalized von Neumann--Jordan constant was introduced. In this paper, the relationships between above constant and generalized García--Falset coefficient are given. In terms of this constant, the lower bounds for the weakly convergent sequence coefficient of a Banach space $X$ are also shown. Moreover, some sufficient conditions which imply normal structure and uniform normal structure are presented.
Citation
Yunan Cui. Xi Wang. Chiping Zhang. "The generalized von Neumann--Jordan constant and normal structure in Banach spaces." Ann. Funct. Anal. 6 (4) 206 - 214, 2015. https://doi.org/10.15352/afa/06-4-206
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