A moment problem for pseudo-positive definite functionals

Details A moment problem for pseudo-positive definite functionals A moment problem for pseudo-positive definite functionals

2008-01-31

arxiv.org/abs/0802.0023v1

Arkiv for Matematik, Volume 48, Number 1 / April, 2010, pp. 97-120

Mathematics

Functional Analysis

23 p

Scientific paper

10.1007/s11512-009-0095-3

A moment problem is presented for a class of signed measures which are termed pseudo-positive. Our main result says that for every pseudo-positive definite functional (subject to some reasonable restrictions) there exists a representing pseudo-positive measure. The second main result is a characterization of determinacy in the class of equivalent pseudo-positive representation measures. Finally the corresponding truncated moment problem is discussed.

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