The Division Algorithm in Sextic 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...
متن کاملThe Truncated Tracial Moment Problem
We present tracial analogs of the classical results of Curto and Fialkow on moment matrices. A sequence of real numbers indexed by words in non-commuting variables with values invariant under cyclic permutations of the indexes, is called a tracial sequence. We prove that such a sequence can be represented with tracial moments of matrices if its corresponding moment matrix is positive semidefini...
متن کاملTruncated Moment Problem versus Moment Problem 3
It is shown that the truncated multidimensional moment problem is more general than the full multidimensional moment problem.
متن کاملSolution of the Truncated Parabolic Moment Problem
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) ...
متن کاملSolution of the Stieltjes Truncated Moment Problem
The conditions of solvability and description of all solutions of the truncated Stieltjes moment problem are obtained using as the starting point earlier results on the Hamburger truncated moment problem. An algebraic algorithm for the explicit solution of both problems is proposed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2017
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-017-2347-0