2017
Том 69
№ 6

All Issues

Quintuplets of orthoprojectors associated by a linear relation

Yusenko A. A.

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Abstract

We consider the equation $α_1 P_1 + α_2 P_2 + … α_n P_n = I$ over orthoprojectors $P_1, … ,P_n$ in a Hilbert space. We show that the set of real parameters $(α_1, … α_n)$ for which there exists a solution of this equation in orthoprojectors contains an open set from $ℝ^5$.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 5, pp 834-846.

Citation Example: Yusenko A. A. Quintuplets of orthoprojectors associated by a linear relation // Ukr. Mat. Zh. - 2009. - 61, № 5. - pp. 701-710.

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