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Norm inequalities and characterizations of inner product spaces

Norm inequalities and characterizations of inner product spaces

Let (X, .) be a real normed space and let θ : (0,∞) → (0,∞) be an increasing function such that t → t θ (t) is non-decreasing on (0,∞) .For such function, we introduce the notion of θ -angular distance α θ [x,y] , where x,y ∈ X \{0} …