English

On Transitive Systems of Subspaces in a Hilbert Space

Representation Theory 2008-04-24 v3 Functional Analysis Operator Algebras

Abstract

Methods of *-representations in Hilbert space are applied to study of systems of nn subspaces in a linear space. It is proved that the problem of description of nn-transitive subspaces in a finite-dimensional linear space is *-wild for n5n \geq 5.

Keywords

Cite

@article{arxiv.math/0602677,
  title  = {On Transitive Systems of Subspaces in a Hilbert Space},
  author = {Yuliya P. Moskaleva and Yurii S. Samoilenko},
  journal= {arXiv preprint arXiv:math/0602677},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T17:32:14.248Z