On the equivalence of some first-order differential operators in spaces of analytic functions and spaces of sequences
1 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
2 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
first-order differential operators
Abstract
It is obtained the necessary and sufficient conditions of similarity of some differential operators of the first order in the spaces of functions analytic in $ 2π \over n $-invariant domains. It is also established analogical conditions of similarity of analogical operators in spaces of sequences with normal topology.
References
[1] Nagnybida M.I. Classical operators in spaces of analytic functions. - Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1995. - 297 p.
[2] Köthe G. Topologische lineare Räume. Bd.1.- Berlin, 1960. - 307 p.
[3] Korobeynyk Y.F. Shift operators on number families. - Rostov-on-Don: Izd-vo Rost. University, 1983. — 160 p.
Cite
- ACS Style
- Goncharuk , A.V.; Zvozdetskyi, T.I. On the equivalence of some first-order differential operators in spaces of analytic functions and spaces of sequences. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Goncharuk AV, Zvozdetskyi TI. On the equivalence of some first-order differential operators in spaces of analytic functions and spaces of sequences. Bukovinian Mathematical Journal. 2018; 1(228).
- Chicago/Turabian Style
- A. V. Goncharuk , Taras Ivanovych Zvozdetskyi. 2018. "On the equivalence of some first-order differential operators in spaces of analytic functions and spaces of sequences". Bukovinian Mathematical Journal. 1 no. 228.
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