Displaying similar documents to “Decomposability of Cylindrical Martingales and Absolutely Summing Operators.”

The One-Third-Trick and Shift Operators

Richard Lechner (2013)

Bulletin of the Polish Academy of Sciences. Mathematics

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We obtain a representation as martingale transform operators for the rearrangement and shift operators introduced by T. Figiel. The martingale transforms and the underlying sigma algebras are obtained explicitly by combinatorial means. The known norm estimates for those operators are a direct consequence of our representation.