Abstract
We attempt to generalize the classical theorem of Wall on the stability of an ordinary numerical polynomial to the operator-valued case. It is shown that such a generalization is admissible if the coefficients of the operator polynomial are uniformly positive commuting operators in Hilbert space.
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 144–147.
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Rozhankivs'ka, M.I. On stable operator polynomials. J Math Sci 90, 2446–2449 (1998). https://doi.org/10.1007/BF02433982
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DOI: https://doi.org/10.1007/BF02433982