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Some remarks on vector-valued integration
Date
2002-02-01
Author
Kadets, Vladimir
Shumyatskiy, Boris
Shvidkoy, Roman
Zheltukhın, Kostyantyn
Tseytlin, Leonid
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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.
Subject Keywords
Functional Analysis
,
Functional Analysis
URI
https://hdl.handle.net/11511/76330
Journal
Journal of Mathematical Physics, Analysis, Geometry
Collections
Department of Mathematics, Article
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V. Kadets, B. Shumyatskiy, R. Shvidkoy, K. Zheltukhın, and L. Tseytlin, “Some remarks on vector-valued integration,”
Journal of Mathematical Physics, Analysis, Geometry
, pp. 48–65, 2002, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/76330.