Wikipedia says that Riesz proved the Riesz-Thorin theorem in 1926 without using any complex methods. Does anyone know where the original proof can be found?
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Wikipedia seems to be wrong about the year. The full reference is:
Marcel Riesz: Sur les maxima des formes bilineaires et sur les fonctionelles lineaires. Acta Mathematica, Vol. 49 (1927), pp. 465-497.
It can also be found in M. Riesz's Collected Papers.