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On Transitive Systems of Subspaces in a Hilbert Space

Yuliya P. Moskaleva·Yurii S. Samoilenko
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Abstract

Methods of *-representations in Hilbert space are applied to study of systems of $n$ subspaces in a linear space. It is proved that the problem of description of $n$-transitive subspaces in a finite-dimensional linear space is *-wild for $n \geq 5$.

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Yuliya P. Moskaleva, Yurii S. Samoilenko. 2006-04-12. On Transitive Systems of Subspaces in a Hilbert Space. https://doi.org/10.3842/sigma.2006.042

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