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Zap. Nauchn. Sem. 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

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.

UDC: 517.5

Received: 01.10.1996


 English version:
Journal of Mathematical Sciences (New York), 2000, 101:3, 3093–3103

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