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The Dunkl-Williams constant related to the singer orthogonality and red isosceles orthogonality in Banach spaces

The Dunkl-Williams constant related to the singer orthogonality and red isosceles orthogonality in Banach spaces

In this paper, we shall consider two new constants DWS(X) and DWI(X), which are the Dunkl-Williams constant related to the Singer orthogonality and theisosceles orthogonality, respectively. We discuss the relationships between DWS(X) and some geometric properties of Banach spaces, including uniform non-squareness, uniform convexity. Furthermore, an equivalent form of DWS(X) …