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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 1, Pages 68–79 (Mi vmj497)  
Construction of the interpolation functor in the category of Freschet spaces with common basis

M. A. Shubarin

Southern Federal University, Rostov-on-Don, Russia
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Abstract: A family of interpolating functors in the category of pairs of Frechet spaces with common absolute basis is constructed and its properties are studied. A reiteration type theorem is proved for this family. In terms of this interpolation functor some types of Köthe spaces are described.
Key words: interpolations linear operators, interpolation functors, diagonal operators, Köthe spaces.
Received: 22.05.2013
Document Type: Article
UDC: 517.982.23+517.982.276
Language: Russian
Citation: M. A. Shubarin, “Construction of the interpolation functor in the category of Freschet spaces with common basis”, Vladikavkaz. Mat. Zh., 16:1 (2014), 68–79
Citation in format AMSBIB
\Bibitem{Shu14}
\by M.~A.~Shubarin
\paper Construction of the interpolation functor in the category of Freschet spaces with common basis
\jour Vladikavkaz. Mat. Zh.
\yr 2014
\vol 16
\issue 1
\pages 68--79
\mathnet{http://mi.mathnet.ru/vmj497}
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