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• W1572807777 abstract "A scalar valued set function on a Cartesian product of a-algebras is a Fre'chet measure if it is a scalar measure independently in each coordinate. A basic question is considered: is it possible to construct products of Frechet measures that are analogous to product measures in the classical theory? A Frechet measure is said to be projectively bounded if it satisfies a Grothendieck type inequality. It is shown that feasibility of products of Frechet measures is linked to the projective boundedness property. All Frechet measures in a two dimensional framework are projectively bounded, while there exist Frechet measures in dimensions greater than two that are projectively unbounded. A basic problem is considered: when is a FrYechet measure projectively bounded? Some characterizations are stated. Applications to harmonic and stochastic analysis are given." @default.
• W1572807777 created "2016-06-24" @default.
• W1572807777 creator A5026614598 @default.
• W1572807777 date "1996-01-01" @default.
• W1572807777 modified "2023-09-27" @default.
• W1572807777 title "Projectively bounded Fréchet measures" @default.
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• W1572807777 doi "https://doi.org/10.1090/s0002-9947-96-01625-x" @default.
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