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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A direct proof of Porcelli’s condition for weak convergence
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by R. B. Darst PDF
Proc. Amer. Math. Soc. 17 (1966), 1094-1096 Request permission
References
    S. Banach, Théorie des opérations lineaires, Chelsea, New York, 1955. T. H. Hildebrandt, On a theorem in the space ${l_1}$ of absolutely convergent sequences with applications to completely additive set functions, Math. Research Center Rep. No. 62, Madison, Wis., 1958.
  • Shizuo Kakutani, Concrete representation of abstract $(L)$-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523–537. MR 4095, DOI 10.2307/1968915
  • Solomon Leader, The theory of $L^p$-spaces for finitely additive set functions, Ann. of Math. (2) 58 (1953), 528–543. MR 58126, DOI 10.2307/1969752
  • P. Porcelli, On weak convergence in the space of functions of bounded variation, Math. Research Center Rep. No. 39, Madison, Wis., 1958. —, On weak convergence in the space of functions of bounded variation. II, Math. Research Center Rep. No. 68, Madison, Wis., 1958.
  • Pasquale Porcelli, Two embedding theorems with applications to weak convergence and compactness in spaces of additive type functions, J. Math. Mech. 9 (1960), 273–292. MR 0124723, DOI 10.1512/iumj.1960.9.59016
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 17 (1966), 1094-1096
  • MSC: Primary 46.20
  • DOI: https://doi.org/10.1090/S0002-9939-1966-0206687-0
  • MathSciNet review: 0206687