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Математическая физика, анализ, геометрия, 2002, том 9, номер 1, страницы 48–65
(Mi jmag272)
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Эта публикация цитируется в 13 научных статьях (всего в 13 статьях)
Some remarks on vector-valued integration
V. Kadetsa, B. Shumyatskiyb, R. Shvidkoyc, L. Tseytlind, K. Zheltukhine a Department of Mechanics and Mathematics, V. N. Karazin Kharkov University, 4 Svobody Sq., 61077, Kharkov, Ukraine
b "Model" Company, 26 Kosmicheskaya Ul., Kharkov, 61145, Ukraine
c Department of Mathematics, University of Missouri, Columbia MO 65211
d CS Ltd, P.O.B. 10112 Kharkov, 61002, Ukraine
e Department of Mathematics, Bilkent University, Turkey
Аннотация:
The paper continues the study of the notion of Riemann–Lebesgue integral, which was introduced before by two of the authors. The result about the convexity of the limit set of integral sums is generalized to the case of weakly-compactly generated spaces. The notion of Riemann–Lebesgue integral is used to introduce new classes of Banach spaces. The properties of these new spaces are studied.
Поступила в редакцию: 26.06.2001
Образец цитирования:
V. Kadets, B. Shumyatskiy, R. Shvidkoy, L. Tseytlin, K. Zheltukhin, “Some remarks on vector-valued integration”, Матем. физ., анал., геом., 9:1 (2002), 48–65
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag272 https://www.mathnet.ru/rus/jmag/v9/i1/p48
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Страница аннотации: | 179 | PDF полного текста: | 80 |
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