Geodesic
On the right inverse operators which are defined by Eidelheit sequences
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 2, pp. 24-30

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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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     author = {O. A. Ivanova and S. N. Melikhov},
     title = {On the right inverse operators which are defined by {Eidelheit} sequences},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
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     number = {2},
     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/VMJ_2010_12_2_a2/}
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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/