On Transitive Systems of Subspaces in a Hilbert Space

Yuliya P. Moskaleva; Yurii S. Samoilenko

doi:10.3842/SIGMA.2006.042

paper

On Transitive Systems of Subspaces in a Hilbert Space

arXiv:math/0602677 · doi:10.3842/SIGMA.2006.042

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 $n \geq 5$ .

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Cited by in corpus (1)

$n$ -Subspaces in linear and unitary spaces