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Operators (not) similar to a contraction: Pisier's counterexample via singular integrals

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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 certain standard constructions from the theory of Calderòn-Zygmund operators. Bibliography: 9 titles.

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References

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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 247, 1997, pp. 79–95.

Translated by S. V. Kislyakov.

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Kislyakov, S.V. Operators (not) similar to a contraction: Pisier's counterexample via singular integrals. J Math Sci 101, 3093–3103 (2000). https://doi.org/10.1007/BF02673734

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  • DOI: https://doi.org/10.1007/BF02673734

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