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ON A GENERALIZED GEOMETRIC CONSTANT AND SUFFICIENT CONDITIONS FOR NORMAL STRUCTURE IN BANACH SPACES
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作者 mina dinarvand 《Acta Mathematica Scientia》 SCIE CSCD 2017年第5期1209-1220,共12页
In this paper, we introduce a new geometric constant C;(a, X) of a Banach space X, which is closely related to the generalized von Neumann-Jordan constant and analyze some properties of the constant. Subsequently, w... In this paper, we introduce a new geometric constant C;(a, X) of a Banach space X, which is closely related to the generalized von Neumann-Jordan constant and analyze some properties of the constant. Subsequently, we present several sufficient conditions for normal structure of a Banach space in terms of this new constant, the generalized James constant, the generalized Garc′?a-Falset coefficient and the coefficient of weak orthogonality of Sims. Our main results of the paper generalize some known results in the recent literature. 展开更多
关键词 uniform normal structure generalized Garc′?a-Falset coefficient coefficient of weak orthogonality constant CN Jp(a X) generalized James constant
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