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?
Original Proof of Riesz-Thorin
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0This may be a useful reference for historical purposes: http://books.google.com/books?id=wd864jh25DQC&pg=PA74&lpg=PA74&dq=original+proof+of+riesz+thorin+theorem&source=bl&ots=mv0u0u_fqG&sig=vxx_iBW-qH8S0aRFAF4JzpxELMQ&hl=en&sa=X&ei=5mGYUP7bAo680QHqo4CYBQ&ved=0CDMQ6AEwBDgK#v=onepage&q=original%20proof%20of%20riesz%20thorin%20theorem&f=false – 2012-11-06
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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.