Geodesic
On the right inverse operators which are defined by Eidelheit sequences
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 2, pp. 24-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article we prove criterion and separately sufficient conditions under which the operator which is defined by Eidelheit sequence has or has not continuous linear right inverse. Also we apply the obtained results for solution of the problem of topologically complementability of ideals in algebras of holomorphic functions. 
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O. A. Ivanova; S. N. Melikhov. On the right inverse operators which are defined by Eidelheit sequences. Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 2, pp. 24-30. http://geodesic.mathdoc.fr/item/VMJ_2010_12_2_a2/

[1] Vogt D., “On two problems of Mityagin”, Math. Nachr., 141 (1989), 13–25 | DOI | MR | Zbl

[2] Mityagin B. S., “Approksimativnaya razmernost i bazisy v yadernykh prostranstvakh”, Uspekhi mat. nauk, 16:4 (1961), 63–132 | MR | Zbl

[3] Vogt D., “Kernels of Eidelhelt matrices and related topics”, Doga Tr. J. Math., 10 (1986), 232–256 | MR | Zbl

[4] Berenstein C. A., Gay R., Complex Variables. An Introduction, Springer-Verlag, New York, 1991, 650 pp. | MR | Zbl

[5] Robertson A. P., Robertson V. D., Topologicheskie vektornye prostranstva, Mir, M., 1967, 257 pp.

[6] Burbaki N., Topologicheskie vektornye prostranstva, Izd-vo inostr. lit-ry, M., 1959, 410 pp.

[7] Borel E., “Sur quelques points de la theorie des fonctions”, Ann. Sci. Norm. Sup., 12:3 (1895), 9–55 | MR | Zbl