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On the summability of certain series for unbounded nonlinear functionals

On the summability of certain series for unbounded nonlinear functionals

Presented to the Society, April 27, 1951; received by the editors August 29, 1952. 1 On the summability of certain orthogonal developments of nonlinear functionals, Bull. Amer. Math. Soc. vol. 55 (1949) pp. 130-145. 2 A simpler proof of this theorem has since been given by G. Maruyama, K6dai Mathematical …