Displaying similar documents to “Extreme positive definite double sequences which are not moment sequences.”

Conical measures and properties of a vector measure determined by its range

L. Rodríguez-Piazza, M. Romero-Moreno (1997)

Studia Mathematica

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We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...

Singular measures and the key of G.

Stephen M. Buckley, Paul MacManus (2000)

Publicacions Matemàtiques

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We construct a sequence of doubling measures, whose doubling constants tend to 1, all for which kill a G set of full Lebesgue measure.

Density questions in the classical theory of moments

Christian Berg, J. P. Reus Christensen (1981)

Annales de l'institut Fourier

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Let μ be a positive Radon measure on the real line having moments of all orders. We prove that the set P of polynomials is note dense in L p ( R , μ ) for any p > 2 , if μ is indeterminate. If μ is determinate, then P is dense in L p ( R , μ ) for 1 ≤ p ≤ 2 , but not necessarily for p > 2 . The compact convex set of positive Radon measures with same moments as μ is studied in some details.