Scientific publications

Абакумов Ю.Г., Банин М.В.

О множествах сходимости, гарантируемой теоремами тестового типа

// Методы математического моделирования и информационные технологии. Труды ИПМИ КарНЦ РАН. Вып. 7. Петрозаводск: КарНЦ РАН, 2006. C. 13-26

Abakumov Y.G., Banin M.V. On sets of convergences guaranteed by test type theorems // Methods of mathematical modeling and information technologies. Proceedings of the Institute of Applied Mathematical Research. Volume 7. Petrozavodsk: KarRC RAS, 2006. Pp. 13-26

The sets in the space C[a, b] on which the sequence of some linear operator classes is convergent on the test set implies that the sequence is convergent on the whole set. It is stated that these sets
do not increase with the preservation of convergences. The general scheme for the sequence of linear functionals in the Banach space is considered.

Last modified: January 15, 2007