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DOI: 10.23671/VNC.2014.1.7425

Construction of the interpolation functor in the category of Freschet spaces with common basis

Shubarin M. A.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 1.
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 K\"othe spaces are described.
Keywords: interpolations linear operators, interpolation functors, diagonal operators, Kothe spaces
Language: Russian Download the full text  
For citation: Shubarin M. A. Construction of the interpolation functor in the category of Freschet spaces with common basis. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 1, pp.68-79. DOI 10.23671/VNC.2014.1.7425
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