Abstract
We prove that the indecomposability of a system of subspaces of a finite-dimensional Hilbert space implies the transitivity of this system under the condition of the linear coherence of the corresponding system of orthogonal projectors.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 5, pp. 717–720, May, 2007.
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Yakymenko, D.Y. On indecomposable and transitive systems of subspaces. Ukr Math J 59, 782–786 (2007). https://doi.org/10.1007/s11253-007-0050-z
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DOI: https://doi.org/10.1007/s11253-007-0050-z