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

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

2009-05-31

arxiv.org/abs/0906.0139v2

Operators and Matrices 5 (2011), no. 1, 139-155

Mathematics

Functional Analysis

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Scientific paper

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.

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