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A Note on the Matrix Moment Problem and its Relation with Matrix Biorthogonal Polynomials

  • Juan Carlos García-Ardila

摘要

In this manuscript, we study the operator moment problem for a block tridiagonal non-symmetric matrix. To study this problem, we used the relation between the resolvent function and a sequence of left-matrix orthogonal polynomials with respect to the sesquilinear form defined from the operator.