منابع مشابه
Truncated Moment Problem versus Moment Problem 3
It is shown that the truncated multidimensional moment problem is more general than the full multidimensional moment problem.
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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...
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A truncated moment sequence (tms) y in n variables and of degree d is a finite real sequence {yα} indexed by nonnegative integer vectors α := (α1, . . . , αn) with |α| := α1 + · · · + αn ≤ d. It admits a measure if there exists a positive Borel measure μ on Rn such that each yα is the α-th moment of μ. The truncated moment problem (TMP) studies conditions for a tms y to admit a measure. A homog...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2008
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-008-1557-x