Bernstein’s theorem for Banach spaces
HTML articles powered by AMS MathViewer
- by Robert Welland PDF
- Proc. Amer. Math. Soc. 19 (1968), 789-792 Request permission
References
-
S. Bernstein, Sur les fonciions absolument monotones, Acta. Math. 52 (1928), 56-66.
R. P. Boas, Carus Mathematics Monograph No. 13, Math. Assoc. Amer., Wiley, New York, 1960, pp. 154-156.
- N. Bourbaki, Eléments de mathématique. XV. Première partie: Les structures fondamentales de l’analyse. Livre V: Espaces vectoriels topologiques. Chapitre I: Espaces vectoriels topologiques sur un corps valué. Chapitre II: Ensembles convexes et espaces localement convexes, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1189, Hermann & Cie, Paris, 1953 (French). MR 0054161
- J. Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. X, Academic Press, New York-London, 1960. MR 0120319
- David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, vol. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
- E. F. Whittlesey, Analytic functions in Banach spaces, Proc. Amer. Math. Soc. 16 (1965), 1077–1083. MR 184092, DOI 10.1090/S0002-9939-1965-0184092-2
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 789-792
- MSC: Primary 46.10; Secondary 26.00
- DOI: https://doi.org/10.1090/S0002-9939-1968-0226371-9
- MathSciNet review: 0226371