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Full-Text Articles in Physical Sciences and Mathematics
Cyclically Compact Operators In Banach Modules Over L0(B), Jasurbek Karimov
Cyclically Compact Operators In Banach Modules Over L0(B), Jasurbek Karimov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
In this paper the properties of linear cyclically compact operators in Banach modules over space L0(B) are given.
Cyclically Compact Sets In Banach Modules Over Algebra L0, Jasurbek Karimov
Cyclically Compact Sets In Banach Modules Over Algebra L0, Jasurbek Karimov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
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.