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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.