Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 79-95
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S. V. Kislyakov. Operators, not similar to a contraction: Pisier's counterexample via singular integrals. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 79-95. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a5/
@article{ZNSL_1997_247_a5,
author = {S. V. Kislyakov},
title = {Operators, not similar to a contraction: {Pisier's} counterexample via singular integrals},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {79--95},
year = {1997},
volume = {247},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a5/}
}
TY - JOUR
AU - S. V. Kislyakov
TI - Operators, not similar to a contraction: Pisier's counterexample via singular integrals
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 79
EP - 95
VL - 247
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a5/
LA - ru
ID - ZNSL_1997_247_a5
ER -
%0 Journal Article
%A S. V. Kislyakov
%T Operators, not similar to a contraction: Pisier's counterexample via singular integrals
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 79-95
%V 247
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a5/
%G ru
%F ZNSL_1997_247_a5
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.
