On indecomposable and transitive systems of subspaces
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.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 5, pp 782-786.
Citation Example: Yakymenko D. Yu. On indecomposable and transitive systems of subspaces // Ukr. Mat. Zh. - 2007. - 59, № 5. - pp. 717–720.
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