The distribution of non-commutative Rademacher series | Zendy

Stephen Montgomery-Smith | Zendy

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The distribution of non-commutative Rademacher series

Author(s) -

Stephen Montgomery-Smith

Publication year - 1995

Publication title -

mathematische annalen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.235

H-Index - 75

eISSN - 1432-1807

pISSN - 0025-5831

DOI - 10.1007/bf01444500

Subject(s) - mathematics , commutative property , series (stratigraphy) , invariant (physics) , pure mathematics , norm (philosophy) , distribution (mathematics) , discrete mathematics , mathematical analysis , law , mathematical physics , paleontology , biology , political science

We give a formula for the tail of the distribution of the non-commutativeRademacher series, which generalizes the result that is already available inthe commutative case. As a result, we are able to calculate the norm of theseseries in many rearrangement invariant spaces, generalizing work of Pisier andRodin and Semyonov.

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