Vol. 49, No. 2, 1973

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Sur un théorème de Mooney relatif aux fonctions analytiques bornées

Eric Amar

Vol. 49 (1973), No. 2, 311–314
Abstract

We give a short proof of the following theorem of Mooney: If {Φn} is a sequence in L1(π,π) such that limn fΦn = l(f) exists for all f H, then there is Φ L1 such that l(f) = fΦ for all f H.

Mathematical Subject Classification 2000
Primary: 46E15
Secondary: 30A78
Milestones
Received: 13 September 1972
Published: 1 December 1973
Authors
Eric Amar