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.

First Page


Last Page



1. Chilin V.I., Karimov J.A. Strictly homogeneous laterally complete modules. J. Phys. Conf. Ser., Vol. 697 (2016).

2. Chilin V.I. Karimov J.A. Criterion of cyclically compactness in finite-dimensional normed module. Uzbek Mathematical Journal, Issue 3, pp. 51–62 (2018). DOI: 10.29229/uzmj.2018-3-5

3. 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

4. Karimov J.A. Kaplansky-Hilbert modules over the algebra of measurable functions. Uzbek Math. Zh., No. 4, pp. 74–81 (2010). (in Russian)

5. Karimov J.A. Equivalence of norms in finite dimensional C(Q)-modules. Vestnik NUUz, No. 2/1, pp. 100–108 (2017). (in Russian)

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

7. Karimov J.A. Cyclically compact sets in Banach modules over algebra L0. Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences, Vol. 5, Iss. 4, pp. 269–273 (2022). DOI: 10.56017/2181-1318.1265

8. Kusraev A.G. Vector duality and its applications. Novosibirsk, Nauka, (1985). (in Russian)

9. Kusraev A.G. Dominated operators. Netherlands, Springer, (2000).

11. Sarimsakov T.A., Ayupov Sh.A., Khadjiev D., Chilin V.I. Ordered algebras. Tashkent, FAN (1983). (in Russian)

12. Schaefer H.H. Topological Vector Spaces. Macmillan (1967).

13. Vulikh B.Z. Introduction to the Theory of Partially Ordered Spaces. Groningen, Wolters-Noordhoff Sci. Publ. (1967).

Included in

Analysis Commons



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.