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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 247, Pages 79–95 (Mi znsl564)  
Operators, not similar to a contraction: Pisier's counterexample via singular integrals

S. V. Kislyakov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (236 kB)
Abstract: The main difference of this exposition of Pisier's counterexample from the original one is that in the proof of the key inequality probabilistic considerations (like Brownian motion) are replaced by some standard facts from the theory of Calderon–Zygmund operators.
Received: 01.10.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 3, Pages 3093–3103
DOI: https://doi.org/10.1007/BF02673734
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. V. Kislyakov, “Operators, not similar to a contraction: Pisier's counterexample via singular integrals”, Investigations on linear operators and function theory. Part 25, Zap. Nauchn. Sem. POMI, 247, POMI, St. Petersburg, 1997, 79–95; J. Math. Sci. (New York), 101:3 (2000), 3093–3103
Citation in format AMSBIB
\Bibitem{Kis97}
\by S.~V.~Kislyakov
\paper Operators, not similar to a contraction: Pisier's counterexample via singular integrals
\inbook Investigations on linear operators and function theory. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 247
\pages 79--95
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl564}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692632}
\zmath{https://zbmath.org/?q=an:0964.47007}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 3
\pages 3093--3103
\crossref{https://doi.org/10.1007/BF02673734}
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