On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries

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Abstract

For a triangular n-by-n matrix function with a fixed ordered set of the indices of its diagonal entries, an explicit description is obtained for all possible n-tuples of the partial indices.

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Harutyunyan, K. V., Kamalyan, A. G., & Spitkovsky, I. M. (2018). On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries. In Operator Theory: Advances and Applications (Vol. 262, pp. 251–285). Springer International Publishing. https://doi.org/10.1007/978-3-319-62527-0_8

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