On Transitive Systems of Subspaces in a Hilbert Space

• Main Authors: Yuliya P. Moskaleva, Yurii S. Samoilenko
• Format: Article
• Language: English
• Published: National Academy of Science of Ukraine 2006-04-01
• Series: Symmetry, Integrability and Geometry: Methods and Applications
• Subjects: algebras generated by projections; irreducible inequivalent representations; transitive nonisomorphic systems of subspaces
• Online Access: http://www.emis.de/journals/SIGMA/2006/Paper042/
• ISSN: 1815-0659

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 ≥ 5.