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Conditional expectattions and interpolation of linear operators
(Englisch)
New developments in Ryff - Calderon approach
Alexander Mekler

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Autor/Autorin: Mekler Alexander

The late Dr. Mekler was the professor of Mathematics at the Leningrad Institute of Aviation Industry (LIAP). After his retirement he moved to Dresden, where he actively pursued his research until his untimely death in October 2018.
We study in details interpolation of linear operatorson order ideals of L^1(0,1). As a part of our results we obtain a considerable improvement of the famous Calderon - Ryff interpolation theorem. The book contains the results obtained by the author during his lifetime research and complements the results obtained by numerous mathematicians, including C. Bennet, D.W. Boyd, S.G. Krein, B.S. Mityagin, V.I. Ovchinnikov, J. Peetre, Y.I. Petunin, R. Sharply, A.A. Sedaev, E.M. Semenov, V.A. Schestakov.

Mekler, Alexander
The late Dr. Mekler was the professor of Mathematics at the Leningrad Institute of Aviation Industry (LIAP). After his retirement he moved to Dresden, where he actively pursued his research until his untimely death in October 2018.

Über den Autor

The late Dr. Mekler was the professor of Mathematics at the Leningrad Institute of Aviation Industry (LIAP). After his retirement he moved to Dresden, where he actively pursued his research until his untimely death in October 2018.


Klappentext

We study in details interpolation of linear operatorson order ideals of L^1(0,1). As a part of our results we obtain a considerable improvement of the famous Calderon - Ryff interpolation theorem. The book contains the results obtained by the author during his lifetime research and complements the results obtained by numerous mathematicians, including C. Bennet, D.W. Boyd, S.G. Krein, B.S. Mityagin, V.I. Ovchinnikov, J. Peetre, Y.I. Petunin, R. Sharply, A.A. Sedaev, E.M. Semenov, V.A. Schestakov.



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