Projections and Idempotents with Fixed Diagonal and the Homotopy Problem for Unit Tight Frames

@inproceedings{ULIEN2011ProjectionsAI,
  title={Projections and Idempotents with Fixed Diagonal and the Homotopy Problem for Unit Tight Frames},
  author={J ULIEN and EONID V. K OVALEV and J AMES E. T ENER},
  year={2011}
}
  • J ULIEN, EONID V. K OVALEV, J AMES E. T ENER
  • Published 2011
We investigate the topological and metric structure of the set of idempotent operators and projections which have prescribed diagonal entries with respect to a Þxed 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. 

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 16 references

Frames for Undergraduates

D. HAN, K. KORNELSON, D. LARSON, E. WEBER
AMS Student Mathematical Library, vol. 40 • 2007
View 1 Excerpt

Projections and the Kadison-Singer problem

P. CASAZZA, D. EDIDIN, D. KALRA, V. PAULSEN
Matrices and Operators, 1, 3 • 2007
View 1 Excerpt

The Pythagorean Theorem.

Science • 2004
View 2 Excerpts

Finite Normalized Tight Frames

Adv. Comput. Math. • 2003
View 1 Excerpt

KOVA ÿ CEVIĆ, Equal-norm tight frames with erasures

J. P. CASAZZA
Adv. Comput. Math., 18, • 2003
View 1 Excerpt

LARSON,Unpublished REU seminar course notes, Summer

D R.
2002
View 1 Excerpt

J

V. K. GOYAL
KOVA ÿ CEVIĆ AND J. A. KELNER, Quantized frame expansions with erasures, Appl. Comput. Harmon. Anal., 10 • 2001
View 1 Excerpt

Similar Papers

Loading similar papers…