2017
Том 69
№ 9

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Scalar operators equal to the product of unitary roots of the identity operator

Samoilenko Yu. S., Yakymenko D. Yu.

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Abstract

We study the set of all $\gamma \in \mathbb{C}$ for which there exist unitary operators $U_i$ such that $U_1U_2 ... U_n = \gamma I$ and $U_i^{m_i} = I$, where $m_i \in \mathbb{N}$ are given.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 6, pp 938-947.

Citation Example: Samoilenko Yu. S., Yakymenko D. Yu. Scalar operators equal to the product of unitary roots of the identity operator // Ukr. Mat. Zh. - 2012. - 64, № 6. - pp. 819-825.

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