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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 61 - 71 (11page)
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Up to the present day, the best solution we can get to the truncated moment problem (TMP) is probably the Flat Extension The- orem. It says that if the corresponding moment matrix of a moment sequence admits a rank-preserving positive extension, then the sequence has a representing measure. However, constructing a flat extension for most higher-order moment sequences cannot be executed easily because it requires to allow many parameters. Recently, the author has considered various decompositions of a moment matrix to find a solution to TMP in- stead of an extension. Using a new approach with the Hadamard product, the author would like to introduce more techniques related to moment matrix decompositions.
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참고문헌 (19)
참고문헌 신청
C. Bayer / 2006 / The proof of Tchakaloff's Theorem / Proc. Amer. Math. Soc 134:3035~3040
C. Berg / 2004 / A transformation from Hausdorff to Stieltjes moment se-quences / Ark. Mat 42(2):239~257
R. Curto / 1996 / Solution of the truncated complex moment problem for flat data / Mem. Amer. Math. Soc 119(568):x~52
R. Curto / 1998 / Nonselfadjoint operator algebras, operator theory, and related topics :59~82
R. Curto / 1998 / Flat extensions of positive moment matrices: recursively generated relations / Mem. Amer. Math. Soc 136(648):x~56
C. Berg / 2004 / A transformation from Hausdorff to Stieltjes moment se-quences / Ark. Mat 42(2):239~257
R. Curto / 1996 / Solution of the truncated complex moment problem for flat data / Mem. Amer. Math. Soc 119(568):x~52
R. Curto / 1998 / Nonselfadjoint operator algebras, operator theory, and related topics :59~82
R. Curto / 1998 / Flat extensions of positive moment matrices: recursively generated relations / Mem. Amer. Math. Soc 136(648):x~56
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