126 citations · 348 across the 94 of their papers we have counts for
5 papers · 1 filter
An elementary, illustrative proof of the Rado-Horn Theorem
Peter G. Casazza, Jesse Peterson
The Rado-Horn theorem provides necessary and sufficient conditions for when a collection of vectors can be partitioned into a fixed number of linearly independent sets. Such partit…
Fusion Frames and the Restricted Isometry Property
Bernhard Bodmann, Jameson Cahill, Peter G. Casazza
We will show that tight frames satisfying the restricted isometry property give rise to nearly tight fusion frames which are nearly orthogonal and hence are nearly equi-isoclinic.…
Spectral Tetris Fusion Frame Constructions
Peter G. Casazza, Matthew Fickus, Andreas Heinecke +2
Spectral tetris is a fexible and elementary method to construct unit norm frames with a given frame operator, having all of its eigenvalues greater than or equal to two. One import…
The Paulsen Problem in Operator Theory
Peter G. Casazza, Jameson Cahill
The Paulsen Problem in Hilbert space frame theory has proved to be one of the most intractable problems in the field. We will help explain why by showing that this problem is equiv…
Every Hilbert space frame has a Naimark complement
Peter G. Casazza, Matt Fickus, Dustin Mixon +2
Naimark complements for Hilbert space Parseval frames are one of the most fundamental and useful results in the field of frame theory. We will show that actually all Hilbert space…