On a Special Parametrization of Matricial α-Stieltjes One-sided Non-negative Definite Sequences
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The characterization of the solvability of matrix versions of truncated Stieltjes-type moment problems led to the class of one-sided α-Stieltjes non-negative definite sequences of complex q × q matrices. The study of this class and some of its important subclasses is the central theme of this paper. We introduce an inner parametrization for sequences of complex matrices, which is particularly well-suited to the class of sequences under consideration. Furthermore, several interrelations between this parametrization and the canonical Hankel parametrization are indicated.
KeywordsTruncated matricial Stieltjes moment problem one-sided Stieltjes non-negative definite sequences one-sided Stieltjes non-negative definite extendable sequences one-sided α-Stieltjes parametrization, canonical Hankel parametrization
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