Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames
Functional Analysis
2011-03-04 v2
Abstract
We investigate the topological and metric structure of the set of idempotent operators and projections which have prescribed diagonal entries with respect to a fixed orthonormal basis of a Hilbert space. As an application, we settle some cases of conjectures of Larson, Dykema, and Strawn on the connectedness of the set of unit-norm tight frames.
Cite
@article{arxiv.0906.0139,
title = {Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames},
author = {Julien Giol and Leonid V. Kovalev and David Larson and Nga Nguyen and James E. Tener},
journal= {arXiv preprint arXiv:0906.0139},
year = {2011}
}
Comments
New title and introduction