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
AbstractLet H be a separable Hilbert space. We prove that any two homotopic idempotents in the algeb...
AbstractAn equiangular tight frame (ETF) is a d×N matrix that has unit-norm columns and orthogonal r...
AbstractWe study the relationship among operators, orthonormal basis of subspaces and frames of subs...
We investigate the topological and metric structure of the set of idempotent operators and projectio...
(Communicated by L. Rodman) Abstract. We investigate the topological and metric structure of the set...
In this dissertation we explore several ways in which the concept of projections arise infinite fram...
A tight frame is the orthogonal projection of some orthonormal basis of Rn onto Rk. We show that a s...
A tight frame is the orthogonal projection of some orthonormal basis of Rn onto Rk. We show that a s...
An idempotent operator E in a Hilbert space H(E2= 1) is written as a 2 × 2 matrix in terms of the or...
We characterize those frames on a Hilbert space H which can be represented as the image of an orthon...
We characterize those frames on a Hilbert space H which can be represented as the image of an orthon...
We characterize those frames on a Hilbert space H which can be represented as the image of an orthon...
AbstractAn equiangular tight frame (ETF) is a d×N matrix that has unit-norm columns and orthogonal r...
Abstract. We prove the existence of tight frames whose elements lie on an arbitrary ellipsoidal surf...
Let H be a (separable) Hilbert space and {ek}k≥1 a fixed orthonormal basis of H. Motivated by many p...
AbstractLet H be a separable Hilbert space. We prove that any two homotopic idempotents in the algeb...
AbstractAn equiangular tight frame (ETF) is a d×N matrix that has unit-norm columns and orthogonal r...
AbstractWe study the relationship among operators, orthonormal basis of subspaces and frames of subs...
We investigate the topological and metric structure of the set of idempotent operators and projectio...
(Communicated by L. Rodman) Abstract. We investigate the topological and metric structure of the set...
In this dissertation we explore several ways in which the concept of projections arise infinite fram...
A tight frame is the orthogonal projection of some orthonormal basis of Rn onto Rk. We show that a s...
A tight frame is the orthogonal projection of some orthonormal basis of Rn onto Rk. We show that a s...
An idempotent operator E in a Hilbert space H(E2= 1) is written as a 2 × 2 matrix in terms of the or...
We characterize those frames on a Hilbert space H which can be represented as the image of an orthon...
We characterize those frames on a Hilbert space H which can be represented as the image of an orthon...
We characterize those frames on a Hilbert space H which can be represented as the image of an orthon...
AbstractAn equiangular tight frame (ETF) is a d×N matrix that has unit-norm columns and orthogonal r...
Abstract. We prove the existence of tight frames whose elements lie on an arbitrary ellipsoidal surf...
Let H be a (separable) Hilbert space and {ek}k≥1 a fixed orthonormal basis of H. Motivated by many p...
AbstractLet H be a separable Hilbert space. We prove that any two homotopic idempotents in the algeb...
AbstractAn equiangular tight frame (ETF) is a d×N matrix that has unit-norm columns and orthogonal r...
AbstractWe study the relationship among operators, orthonormal basis of subspaces and frames of subs...