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Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

Abstract

In this paper some properties of cyclic compact sets in Banach modules over the algebra of measurable functions are given. The convergence of the cyclic subnet of any convergent sequence, and to the same limit is proved. It is also shown that if we multiply the cyclic compact set to any measurable function it will be cyclic compact set too.

First Page

269

Last Page

273

References

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6. Chilin V.I., Karimov J.A. The Cyclical Compactness in Banach C(Q)-Modules. J Math Sci, Vol. 265, pp. 129–145 (2022). DOI: 10.1007/s10958-022-06050-0

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8. Karimov J.A. Criterion of compactness of the sets in finite-dimensional Banach modules. New results of mathematics and their applications, Abstracts (2018).

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