2017
Том 69
№ 6

All Issues

On indecomposable and transitive systems of subspaces

Yakymenko D. Yu.

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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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