Generalizations of a theorem of Namioka
HTML articles powered by AMS MathViewer
- by Charles Stegall PDF
- Proc. Amer. Math. Soc. 102 (1988), 559-564 Request permission
Abstract:
We prove a result concerning separate and joint continuity that contains a celebrated result of Namioka.References
-
N. Bourbaki, Topologie générale, Hermann, Paris, 1951.
- Jean Bourgain and Michel Talagrand, Compacité extrémale, Proc. Amer. Math. Soc. 80 (1980), no. 1, 68–70 (French). MR 574510, DOI 10.1090/S0002-9939-1980-0574510-8 G. Choquet, Lectures on analysis, Benjamin, New York, 1969.
- Jens Peter Reus Christensen, Joint continuity of separately continuous functions, Proc. Amer. Math. Soc. 82 (1981), no. 3, 455–461. MR 612739, DOI 10.1090/S0002-9939-1981-0612739-1
- Mahlon M. Day, Normed linear spaces, 3rd ed., Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 21, Springer-Verlag, New York-Heidelberg, 1973. MR 0344849
- Gabriel Debs, Espaces ${\scr K}$-analytiques et espaces de Baire de fonctions continues, Mathematika 32 (1985), no. 2, 218–228 (1986) (French). MR 834492, DOI 10.1112/S0025579300011013 R. Deville, Parties faiblement de Baire dans les espaces de Banach (to appear).
- Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna, Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
- Surjit Singh Khurana, Pointwise compactness on extreme points, Proc. Amer. Math. Soc. 83 (1981), no. 2, 347–348. MR 624928, DOI 10.1090/S0002-9939-1981-0624928-0
- I. Namioka, Separate continuity and joint continuity, Pacific J. Math. 51 (1974), 515–531. MR 370466 —, A simplification of Kurana’s proof, Rainwater Seminar, University of Washington.
- Jean Saint-Raymond, Jeux topologiques et espaces de Namioka, Proc. Amer. Math. Soc. 87 (1983), no. 3, 499–504 (French, with English summary). MR 684646, DOI 10.1090/S0002-9939-1983-0684646-1
- Charles Stegall, The duality between Asplund spaces and spaces with the Radon-Nikodým property, Israel J. Math. 29 (1978), no. 4, 408–412. MR 493268, DOI 10.1007/BF02761178 —, A result concerning the weak topology generated by the extreme linear functionals, Séminaire d’Analyse Fonctionelle, Université de Paris VII, 1983-84. —, Applications of descriptive topology in functional analysis, Universität Linz, 1985.
- Michel Talagrand, Espaces de Banach faiblement ${\cal K}$-analytiques, Ann. of Math. (2) 110 (1979), no. 3, 407–438 (French). MR 554378, DOI 10.2307/1971232 —, Jeux topologiques et espaces de Namioka (to appear).
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 559-564
- MSC: Primary 46G99; Secondary 46B99, 54C60
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928980-0
- MathSciNet review: 928980