Henson, C. Ward; Moore, L. C. jun. The nonstandard theory of topological vector spaces. (English) Zbl 0254.46001 Trans. Am. Math. Soc. 172(1972), 405-435 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 17 Documents MathOverflow Questions: What’s the size of non standard monad for weak topology? MSC: 46A03 General theory of locally convex spaces 03H99 Nonstandard models 26E35 Nonstandard analysis 54J05 Nonstandard topology 46B10 Duality and reflexivity in normed linear and Banach spaces PDFBibTeX XMLCite \textit{C. W. Henson} and \textit{L. C. Moore jun.}, Trans. Am. Math. Soc. 172, 405--435 (1973; Zbl 0254.46001) Full Text: DOI References: [1] James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396 – 414. · Zbl 0015.35604 [2] Mahlon M. Day, Normed linear spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge. Heft 21. Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. · Zbl 0082.10603 [3] C. Ward Henson, The nonstandard hulls of a uniform space, Pacific J. Math. 43 (1972), 115 – 137. · Zbl 0245.54046 [4] R. C. James, Characterizations of reflexivity, Studia Math. 23 (1963/1964), 205 – 216. · Zbl 0113.09303 [5] J. L. Kelley and Isaac Namioka, Linear topological spaces, With the collaboration of W. F. Donoghue, Jr., Kenneth R. Lucas, B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, Kennan T. Smith. The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J., 1963. · Zbl 0115.09902 [6] W. A. J. Luxemburg, A general theory of monads, Applications of Model Theory to Algebra, Analysis, and Probability (Inte rnat. Sympos., Pasadena, Calif., 1967) Holt, Rinehart and Winston, New York, 1969, pp. 18 – 86. [7] D. Milman, On some criteria for the regularity of spaces of the type B, C. R. (Dokl.) Acad. Sci. USSR 20 (1938), 243-246. · Zbl 0019.41601 [8] B. J. Pettis, A proof that every uniformly convex space is reflexive, Duke Math. J. 5 (1939), no. 2, 249 – 253. · Zbl 0021.32601 · doi:10.1215/S0012-7094-39-00522-3 [9] Abraham Robinson, Non-standard analysis, North-Holland Publishing Co., Amsterdam, 1966. · Zbl 0102.00708 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.