| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6414102 | Expositiones Mathematicae | 2011 | 7 Pages |
Abstract
We show that the projection lattice generated by a maximal nest and a rank one projection in a separable infinite-dimensional Hilbert space is in general reflexive. Moreover we show that the corresponding reflexive algebra has a maximal triangular property, equivalently, it is a Kadison-Singer algebra. Similar results are also obtained for the lattice generated by a finite nest and a projection in a finite factor.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Liguang Wang, Wei Yuan,