2019
Том 71
№ 11

All Issues

On an upper bound for the number of characteristic values of an operator function

Radzievskii G. V.

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Abstract

We prove a theorem on an upper bound for the number of characteristic values of an operator-valued function that is holomorphic and bounded in a domain. This estimate is similar to the well-known inequality for zeros of a number function that is holomorphic and bounded in a domain. We derive several corollaries of the theorem proved, in particular, a statement on an estimate of the number of characteristic values of polynomial bundles of operators that lie in a given disk.

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 2, pp 241-254.

Citation Example: Radzievskii G. V. On an upper bound for the number of characteristic values of an operator function // Ukr. Mat. Zh. - 1998. - 50, № 2. - pp. 211–224.

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