Abstract
With a view to generalize the classical Clarkson inequalities for 1 < p < ∞, we construct and study a family of 2 × 2 extreme matrices on lp (2), two-dimensional lp -spaces (2 < p < ∞). The scalar (skew-) field may be the reals, the complex numbers or the quaternions. The generalization sought for, in two versions, is then obtained with simple, explicit coefficients.
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