Dimensional stability in truncated moment problems
نویسندگان
چکیده
منابع مشابه
An Operator Theoretic Approach to Truncated Moment Problems∗
We survey recent developments in operator theory and moment problems, beginning with the study of quadratic hyponormality for unilateral weighted shifts, its connections with truncated Hamburger, Stieltjes, Hausdorff and Toeplitz moment problems, and the subsequent proof that polynomially hyponormal operators need not be subnormal. We present a general elementary approach to truncated moment pr...
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Given real numbers β ≡ β = {βij}i,j≥0,i+j≤2n, with γ00 > 0, the truncated parabolic moment problem for β entails finding necessary and sufficient conditions for the existence of a positive Borel measure μ, supported in the parabola p(x, y) = 0, such that βij = ∫ yx dμ (0 ≤ i+ j ≤ 2n). We prove that β admits a representing measure μ (as above) if and only if the asociated moment matrixM (n) (β) ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2012
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2011.11.063