Clarkson-mccarthy Interpolated Inequalities in Finsler Norms
نویسنده
چکیده
We apply the complex interpolation method to prove that, given two spacesB p0,a;s0 , B (n) p1,b;s1 of n-tuples of operators in the p-Schatten class of a Hilbert space H , endowed with weighted norms associated to positive and invertible operators a and b of B(H) then, the curve of interpolation (B p0,a;s0 , B (n) p1,b;s1 )[t] of the pair is given by the space of n-tuples of operators in the pt-Schatten class of H , with the weighted norm associated to the positive invertible element γa,b(t) = a1/2(a−1/2ba−1/2)ta1/2.
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