@article{VMJ_2000_2_1_a0,
author = {A. G. Kusraev and S. S. Kutateladze},
title = {On combined nonstandard methods in functional analysis},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {3--9},
year = {2000},
volume = {2},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VMJ_2000_2_1_a0/}
}
A. G. Kusraev; S. S. Kutateladze. On combined nonstandard methods in functional analysis. Vladikavkazskij matematičeskij žurnal, Tome 2 (2000) no. 1, pp. 3-9. http://geodesic.mathdoc.fr/item/VMJ_2000_2_1_a0/
[1] Kusraev A. G., Kutateladze S. S., Nonstandard Methods of Analysis, Nauka, Novosibirsk, 1990 ; Kluwer, Dordrecht, 1995 | MR | Zbl
[2] Kusraev A. G., Kutateladze S. S., “On combining nonstandard methods”, Sibirsk. Mat. Zh., 31:5 (1990), 69–78 | MR
[3] Kutateladze S. S., “Monads of proultrafilters and extensional filters”, Sibirsk. Mat. Zh., 30:1 (1989), 129–133 | MR
[4] Kusraev A. G., Kutateladze S. S., “On nonstandard methods in functional analysis”, Interaction between Functional Analysis, Harmonic Analysis and Probability, Marcel Dekker Inc., New York etc., 1995, 301–307 | MR
[5] Kusraev A. G., Kutateladze S. S., “On combined nonstandard methods in the theory of positive operators”, Matematychni Studii, 7:1 (1997), 33–40 | MR | Zbl
[6] Takeuti G., Zaring W. M., Axiomatic Set Theory, Springer-Verlag, New York, 1973 | MR | Zbl
[7] Gordon E. I., “The reals in Boolean-valued models of set theory and $K$-spaces”, Dokl. Akad. Nauk SSSR, 237:4 (1977), 773–775 | MR | Zbl
[8] Aliprantis C. D., Burkinshaw O., Positive Operators, Academic Press, New York, 1985 | MR | Zbl
[9] Luxemburg W. A. J., Zaanen A. C., Riesz Spaces, v. 1, North-Holland, Amsterdam–London, 1971 | Zbl
[10] Kusraev A. G., Vector Duality and Its Applications, Nauka, Novosibirsk, 1985 | MR | Zbl
[11] Loeb P., “A nonstandard representation of measurable spaces, $L_{\infty}$, and $L_{\infty}^*$”, Contributions to Nonstandard Analysis, eds. Luxemburg W. A. J., Robinson A., North-Holland, Amsterdam–London, 1972, 65–80 | MR
[12] Kusraev A. G., Malyugin S. A., Some Questions of the Theory of Vector Measures, Sobolev Institute of Mathematics, Novosibirsk, 1988
[13] Kusraev A. G., Malyugin S. A., “Atomic decomposition of vector measures”, Sibirsk. Mat. Zh., 30:5 (1989), 101–120 | MR
[14] Kusraev A. G., Malyugin S. A., “Extension of finitely additive vector measures”, Mat. Zametki, 48:1 (1990), 56–60 | MR | Zbl
[15] Kusraev A. G., “On functional representation of type I $AW^*$-algebras”, Sibirsk. Mat. Zh., 32:2 (1991), 78–88 | MR | Zbl
[16] Kusraev A. G., “Boolean-valued analysis and $JB$-algebras”, Sibirsk. Mat. Zh., 35:1 (1994), 124–134 | MR | Zbl