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Ultrapowers of locally convex spaces and applications. II. (English) Zbl 0601.46001

A preprint of this paper appeared in Prepr., Akad. Wiss. DDR, Inst. Math. P-Math-11/83, 37 p. (1983; Zbl 0522.46003). For part I see ibid. 118, 285-315 (1984; Zbl 0576.46002).

MSC:

46A03 General theory of locally convex spaces
46S20 Nonstandard functional analysis
46B20 Geometry and structure of normed linear spaces
54E40 Special maps on metric spaces
54E15 Uniform structures and generalizations
54J05 Nonstandard topology
58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
Full Text: DOI

References:

[1] Aharoni, Bull. Amer. Math. Soc. 84 pp 281– (1978)
[2] Bessaga, Fund. Math. 56 pp 251– (1965)
[3] , Model Theory, Amsterdam, North Holland 1973
[4] Measure theoretic zero sets in infinite dimensional spaces and applications to differentiability of Lipschitz mappings, II. Coll. Anal. Fonct. Bordeaux 1973, 29–39
[5] , Topological classification of convex sets, Proc. Symp. Pure Math. VII (Convexity), : AMS 1963, 37–51
[6] Davis, J. Functional Analysis 17 pp 311– (1974)
[7] Enflo, Israel J. Math. 8 pp 253– (1970)
[8] [Russian Text Ignored] 23 (1982) 32–43
[9] Heinrich, Math. Nachr. 118 pp 285– (1984)
[10] The uniform classification of boundedly compact locally convex spaces (to appear)
[11] Heinrich, Studia Math. 73 pp 225– (1982)
[12] Henson, Israel J. Math. 25 pp 108– (1976)
[13] Henson, Trans. Amer. Math. Soc. 172 pp 405– (1972)
[14] Lindenstrauss, Michigan Math. J. 11 pp 268– (1964)
[15] Lindenstrauss, Bull. Amer. Math. Soc. 72 pp 967– (1966)
[16] Lindenstrauss, Israel J. Math. 7 pp 325– (1969)
[17] A general theory of monads, Applications of Model Theory to Algebra, Analysis and Probability, New York. Holt, Rinehart and Winston 1969, 18–85
[18] Mankiewicz, Studia Math. 41 pp 225– (1972)
[19] Mankiewicz, Studia Math. 45 pp 15– (1973)
[20] Mankiewicz, Studia Math. 52 pp 109– (1974)
[21] Mankieswicz, Rocky Mountain J. Math. 10 pp 59– (1980)
[22] Pelczyński, Dissertationes Math. 58 (1968)
[23] Ribe, Ark. Math. 14 pp 237– (1976)
[24] Ribe, Ark. Math. 16 pp 1– (1978)
[25] Topological Vector Spaces, New York, Heidelberg, Berlin. Springer 1970
[26] Tacok, Bull. Austral. Math. Soc. 2 pp 415– (1970)
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