Title
Projections and Idempotents with Fixed Diagonal and the Homotopy Problem for Unit Tight Frames
Document Type
Article
Date
4-27-2010
Disciplines
Mathematics
Description/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.
Recommended Citation
Giol, Julien; Kovalev, Leonid V.; Larson, David; Nguyen, Nga; and Tener, James E., "Projections and Idempotents with Fixed Diagonal and the Homotopy Problem for Unit Tight Frames" (2010). Mathematics - All Scholarship. 50.
https://surface.syr.edu/mat/50
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0906.0139