2017
Том 69
№ 6

All Issues

On quadruples of projectors connected by a linear relation

Yusenko K. A.

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Abstract

We describe the set of γ ∈ ℝ for which there exist quadruples of projectors P i for a fixed collection of numbers $\alpha_i \in \mathbb{R}_+, \quad i = \overline{1,4} $, такі, що $\alpha_1 P_1 + \alpha_2 P_2 + \alpha_3 P_3 + \alpha_4 P_4 = \gamma I$.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 9, pp 1462-1470.

Citation Example: Yusenko K. A. On quadruples of projectors connected by a linear relation // Ukr. Mat. Zh. - 2006. - 58, № 9. - pp. 1289–1295.

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