Journal article
Recursively determined representing measures for bivariate truncated moment sequences
Journal of operator theory, Vol.70(2), pp.401-436
2013
DOI: 10.7900/jot.2011sep06.1943
Abstract
A theorem of Bayer and Teichmann implies that if a finite real multisequence \\beta = \\beta^(2d) has a representing measure, then the associated moment matrix M_d admits positive, recursively generated moment matrix extensions M_(d+1), M_(d+2),... For a bivariate recursively determinate M_d, we show that the existence of positive, recursively generated extensions M_(d+1),...,M_(2d-1) is sufficient for a measure. Examples illustrate that all of these extensions may be required to show that \\beta has a measure. We describe in detail a constructive procedure for determining whether such extensions exist. Under mild additional hypotheses, we show that M_d admits an extension M_(d+1) which has many of the properties of a positive, recursively generated extension.
Details
- Title: Subtitle
- Recursively determined representing measures for bivariate truncated moment sequences
- Creators
- Raúl E CurtoLawrence A Fialkow
- Resource Type
- Journal article
- Publication Details
- Journal of operator theory, Vol.70(2), pp.401-436
- DOI
- 10.7900/jot.2011sep06.1943
- ISSN
- 0379-4024
- eISSN
- 1841-7744
- Language
- English
- Date published
- 2013
- Academic Unit
- Mathematics
- Record Identifier
- 9983985948402771
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