Stability of Operator-Valued Truncated Moment Problems

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References

[1] F. H. Vasilescu, “Dimension Stability in Truncated Moment Problems,” Journal of Mathematical Analysis and Applications, Vol. 388, No. 1, 2012, pp. 219-230.
doi:10.1016/j.jmaa.2011.11.063

[2] R. E. Curto and L. A. Fialkow, “Truncated K-Moment Problems in Several Variables,” Journal Operator Theory, Vol. 54, No. 1, 2005, pp. 189-226.

[3] R. E. Curto and L. A. Fialkow, “Flat Extension of Positive Moment Matrices. Relation in Analytic or Conjugate Terms,” Operator Theory Advanced and Applications, Vol. 104, Birkhäuser Verlag, Basel, 1998, pp. 59-82.

[4] T. Ando, “Truncated Moment Problems for Operators,” Acta Scientia Mathematica, Szeged, Vol. 31, 1970, pp. 319-334.

[5] M. Putinar, “Inverse Problems of Perturbation Theory and Moment Problems,” Functional Analysis and Related Topics, World Scientific, Singapore City, 1991, pp. 99-116.

[6] M. Putinar and F. H. Vasilescu, “Solving Moment Problems by Dimensional Extension,” Annals of Mathematics, Vol. 148, No. 3, 1999, pp. 1087-1107.
doi:10.2307/121083

[7] L. Lemnete-Ninulescu, “Truncated Trigonometric and Hausdorff Moment Problems for Operators,” An Operator Theory Summer, Proceedings of the 23th International Operator Conference, Timisoara, 29 June-4 July 2010, Theta, 2012, pp. 51-61.