Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames uri icon

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. Element, Zagreb.

published proceedings

  • Operators and Matrices

author list (cited authors)

  • Giol, J., Kovalev, L. V., Larson, D. R., Nguyen, N., & Tener, J. E.

citation count

  • 3

complete list of authors

  • Giol, Julien||Kovalev, Leonid V||Larson, David R||Nguyen, Nga||Tener, James E

publication date

  • January 2011