When are the nonstandard hulls of normed lattices discrete or continuous?
Автор: Troitsky Vladimir Georgievich
Журнал: Владикавказский математический журнал @vmj-ru
Статья в выпуске: 2 т.11, 2009 года.
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This note is a nonstandard analysis version of the paper "When are ultrapowers of normed lattices discrete or continuous?" by W. Wnuk and B. Wiatrowski.
Normed lattice, discrete element, nonstandard hull
Короткий адрес: https://sciup.org/14318271
IDR: 14318271
Список литературы When are the nonstandard hulls of normed lattices discrete or continuous?
- Aliprantis C. D., Burkinshaw O. Locally solid Riesz spaces with applications to economics (Math. Surveys and Monographs, Vol. 105. 2 ed.-Providence (R.I.): Amer. Math. Soc., 2003.-344 p.
- Emel'yanov E. Yu. Infinitesimals in vector lattices//Nonstandard analysis and vector lattices (Math. Appl., Vol. 525).-Dordrecht: Kluwer, 2000.-P. 161-230.
- Luxemburg W. A. J., Zaanen A. C. Riesz spaces.-Amsterdam-London: North-Holland Publishing Co, 1971.-Vol. 1.
- Troitsky V. G. Measures on non-compactness of operators on Banach lattices//Positivity.-2004.-Vol. 8, №.-P. 165-178.
- Wnuk W., Wiatrowski B. When are ultrapowers of normed lattices discrete or continuous?//Positivity IV-theory and applications-Dresden: Tech. Univ. Dresden, 2006.-P. 173-182.
- Wolff M. P. H. An introduction to nonstandard functional analysis//Nonstandard analysis (Edinburgh, 1996).-Dordrecht: Kluwer Acad. Publ., 1997.-P. 121-151.
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