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Nonstandard Analysis and Vector Lattices pp 1–79Cite as

Nonstandard Methods and Kantorovich Spaces

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 525))

Abstract

It is universally recognized that the thirties of the 20th century play a special role in the development of the modern science. Outlined at the turn of the century, the tendency towards drastic reorganization of mathematics has revealed itself since these years. This led to the creation of a number of new mathematical subjects, functional analysis among the first. Nowadays we realize an exceptional place of the seventies framed sweeping changes both in volume and in essence of mathematical theories. In this period, a qualitative leap forward was registered in understanding interrelation and interdependence of mathematical topics; outstanding advances took place in working out new synthetic approaches and finding solutions to certain deep and profound problems intractable for a long time.

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  1. A. G. Kusraev
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  2. S. S. Kutateladze
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  1. Siberian Division of the Russian Academy of Sciences, Sobolev Institute of Mathematics, Novosibirsk, Russia

    S. S. Kutateladze

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Kusraev, A.G., Kutateladze, S.S. (2000). Nonstandard Methods and Kantorovich Spaces. In: Kutateladze, S.S. (eds) Nonstandard Analysis and Vector Lattices. Mathematics and Its Applications, vol 525. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4305-9_1

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