On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
| dc.creator | Popova, Natasha D. | |
| dc.creator | Samoilenko, Yurii S. | |
| dc.date | 2006-05-29 | |
| dc.date.accessioned | 2026-07-07T09:34:32Z | |
| dc.date.available | 2026-07-07T09:34:32Z | |
| dc.description | For a class of $*$-algebras, where $*$-algebra $A_{Γ,τ}$ is generated by projections associated with vertices of graph $Γ$ and depends on a parameter $τ$ $(0 < τ\leq 1)$, we study the sets $Σ_Γ$ of values of $τ$ such that the algebras $A_{Γ,τ}$ have nontrivial $*$-representations, by using the theory of spectra of graphs. In other words, we study such values of $τ$ that the corresponding configurations of subspaces in a Hilbert space exist. | |
| dc.description | Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math/0605717 | |
| dc.identifier | http://arxiv.org/abs/math/0605717 | |
| dc.identifier | SIGMA 2 (2006), 055, 5 pages | |
| dc.identifier | doi:10.3842/SIGMA.2006.055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159524 | |
| dc.subject | Representation Theory | |
| dc.subject | Operator Algebras | |
| dc.title | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles | |
| dc.type | text |