S. V. Kislyakov, N. Ya. Kruglyak, J. Niyobuhungiro, “Characterization of optimal decompositions in real interpolation. II”, Zap. Nauchn. Sem. POMI, 2014, Volume 424,Pages <nobr>179

Characterization of optimal decompositions in real interpolation. II

S. V. Kislyakov^a, N. Ya. Kruglyak^b, J. Niyobuhungiro^c

^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

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.

UDC: 517

Received: 22.07.2014