On quadruples of projectors connected by a linear relation

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 $\alpha_1 P_1 + \alpha_2 P_2 + \alpha_3 P_3 + \alpha_4 P_4 = \gamma I$.

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Bibliographic Details
Date:2006
Main Authors: Yusenko, K. A., Юсенко, К. А.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2006
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3531
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal