Abstract
An approach to truncated moment problems is developed, via the Riesz functional and an assumed dimensional stability of its associated Hilbert spaces. Although equivalent to a concept of “flatness” introduced by R. Curto and L. Fialkow, the dimensional stability discussed in this paper has a different geometric aspect and leads to statements parallel to those of the quoted authors, as well as to some newer ones, obtained by simpler arguments. A stability equation, giving a local characterization of the dimensional stability, is also presented.
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