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Digitale Medien

Abstract Lebesgue-Radon-Nikodym theorems (1967)

Rao, M. M.

Springer

Annali di matematica pura ed applicata 76 (1967), S. 107-131

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Details

ISSN: 1618-1891

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary In this paper generalizations of the classical Lebesgue-Radon-Nikodym type decomposition of additive set functions are obtained for pairs of vector measures when both measures take values in possibly different Banach spaces. Some applications of these results are made to (i) the representation of wearly compact operators on the spaces of integrable scalar functions relative to a vector measure to an arbitrary Banach space, and (ii) a problem of comparison of measures in inference theory. The abstract conditional expectations of operator valued strongly measurable and integrable random variables on a σ-finite space are briefly treated.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02412231

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