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Some geometric constants related to <1-orthogonality and <1'-orthogonality in Banach spaces

Some geometric constants related to <1-orthogonality and <1'-orthogonality in Banach spaces

In this article, we introduce two new moduli of convexity  ⊥ (,X) and  ⊥ ( ,X) related to  -orthogonality and  -orthogonality, which are connected with the modulus of convexity  X () .The connections between these two parameters and other well-known constants are built.In the meantime, …