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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 424, Pages 179–185 (Mi znsl6013)  
Characterization of optimal decompositions in real interpolation. II

S. V. Kislyakova, N. Ya. Kruglyakb, J. Niyobuhungiroc

a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
b Division of Mathematics and Applied Mathematics, Department of Mathematics, Linköping University, SE-581 83 Linköping, Sweden
c Department of Mathematics, College of Science and Technology, University of Rwanda, P.O. Box 3900 Kigali, Rwanda
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Abstract: Optimal decompositions mentioned in the title have certain extremal properties expressed in terms of duality. We present a direct and fairly short proof of this.
Key words and phrases: optimal decompositions, real interpolation, duality.
Received: 22.07.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 5, Pages 778–782
DOI: https://doi.org/10.1007/s10958-015-2525-z
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: S. V. Kislyakov, N. Ya. Kruglyak, J. Niyobuhungiro, “Characterization of optimal decompositions in real interpolation. II”, Investigations on linear operators and function theory. Part 42, Zap. Nauchn. Sem. POMI, 424, POMI, St. Petersburg, 2014, 179–185; J. Math. Sci. (N. Y.), 209:5 (2015), 778–782
Citation in format AMSBIB
\Bibitem{KisKruNiy14}
\by S.~V.~Kislyakov, N.~Ya.~Kruglyak, J.~Niyobuhungiro
\paper Characterization of optimal decompositions in real interpolation.~II
\inbook Investigations on linear operators and function theory. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 424
\pages 179--185
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6013}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3481448}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 209
\issue 5
\pages 778--782
\crossref{https://doi.org/10.1007/s10958-015-2525-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84956823594}
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  • https://www.mathnet.ru/eng/znsl/v424/p179
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