Basis conditions for Pincerle systems in sequence spaces

Linchuk Nadiya Evgenivna; Linchuk Stepan Stepanovich

Linchuk Nadiya Evgenivna ¹ , Linchuk Stepan Stepanovich ²

¹ Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

² Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine

Keywords: basis conditions, Pincerle systems

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Abstract

Sufficient conditions basis of Pincerle systems in space of sequences which to allotment topology of Kete is obtained.

References

[1] Boas R.P. General expansion theorems// Proc. Acad. sci.,USA. 1940. - 26 . - C.139-149.

[2] Korobeynik Yu.F. On some characteristic properties of differential operators of infinite order// Izvestiya AN SSSR. Ser. matem. - 1966.- 30, N 5.- P.993-1016.

[3] Korobeynik Yu.F. Generalized differentiation operators in sequence spaces // Izvestiya SKNCVI. Natural sciences. - 1976. - N. 3. - P.3-8.

[4] Korobaynik Yu.F. Operator equations of infinite order with constant coefficients / / Siberian Math. J. - 1976. - 17, N 3. - P. 571-583.

[5] Korobaynik Yu.F., Kiryutenko Yu.A. Operators commuting with the generalized integration operator // Differential and integral equations: Collection of scientific works. - 1979. - P. 101-107.

[6] Korobeynik Yu.F. Svizh operators on numerical families. - Rostov-on-Don, 1983. - 154 p.

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ACS Style: Linchuk, N.E.; Linchuk, S.S. Basis conditions for Pincerle systems in sequence spaces. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Linchuk NE, Linchuk SS. Basis conditions for Pincerle systems in sequence spaces. Bukovinian Mathematical Journal. 2018; 1(150).
Chicago/Turabian Style: Nadiya Evgenivna Linchuk, Stepan Stepanovich Linchuk. 2018. "Basis conditions for Pincerle systems in sequence spaces". Bukovinian Mathematical Journal. 1 no. 150.

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