Abstract
We describe the set of γ ∈ ℝ for which there exist quadruples of projectors P i for a fixed collection of numbers αi ℝ+, \(i = \overline {1,4} \), such that α1 P 1 + α2 P 2 + α3 P 3 + α3 P 4 = γI.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 9, pp. 1289–1295, September, 2006.
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Yusenko, K.A. On quadruples of projectors connected by a linear relation. Ukr Math J 58, 1462–1470 (2006). https://doi.org/10.1007/s11253-006-0146-x
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DOI: https://doi.org/10.1007/s11253-006-0146-x