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- W2022687253 abstract "In this note amultidimensional Hausdorff truncated operator-valued moment problem, from thepoint of view of “stabilityconcept” of the number ofatoms of the obtained atomic, operator-valued representing measure for theterms of a finite, positively define kernel of operators, is studied. Thenotion of “stability of thedimension” in truncated, scalarmoment problems was introduced in [1]. In this note, the concept of “stability” of the algebraicdimension of the obtained Hilbert space from the space of the polynomials offinite, total degree with respect to the null subspace of a unital squarepositive functional, in [1], is adapted to the concept of stability of thealgebraic dimension of the Hilbert space obtained as the separated space ofsome space of vectorial functions with respect to the null subspace of ahermitian square positive functional attached to a positive definite kernel ofoperators. In connection with the stability of the dimension of such obtainedHilbert space, a Hausdorff truncated operator-valued moment problem and thestability of the number of atoms of the representing measure for the terms ofthe given operator kernel, in this note, is studied." @default.
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- W2022687253 date "2013-01-01" @default.
- W2022687253 modified "2023-09-29" @default.
- W2022687253 title "Stability of Operator-Valued Truncated Moment Problems" @default.
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- W2022687253 doi "https://doi.org/10.4236/am.2013.44100" @default.
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