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A new upper bound of geometric constant D ( X ) $D(X)$

A new upper bound of geometric constant D ( X ) $D(X)$

A new constant $\mathit{WD}(X)$ is introduced into any real $2^{n}$ -dimensional symmetric normed space X. By virtue of this constant, an upper bound of the geometric constant $D(X)$ , which is used to measure the difference between Birkhoff orthogonality and isosceles orthogonality, is obtained and further extended to an arbitrary …