126 citations · 348 across the 94 of their papers we have counts for
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Remarks on scalable frames
Peter G. Casazza, Laura De Carli, Tin T. Tran
This paper investigates scalable frame in . We define the reduced diagram matrix of a frame and use it to classify scalability of the frame under some conditions. We…
New characterizations of the unit vector basis of or
Peter G. Casazza, Stephen J. Dilworth, Denka Kutzarova +1
Motivated by Altshuler's famous characterization of the unit vector basis of or among symmetric bases, we obtain similar characterizations among democratic bases and…
Piecewise scalable frames
Peter G. Casazza, Laura De Carli, Tin T. Tran
In this paper we define "piecewise scalable frames". This new scaling process allows us to alter many frames to Parseval frames which is impossible by the previous standard scaling…
The core of a Grassmannian frame
Peter G. Casazza, Ian Campbell, Tin T. Tran
Let be a set of unit vectors in $\RR^n$. The coherence of is $\coh(X):=\max_{i\not=j}|\langle x_i, x_j\rangle|$. A vector is said to be isolable if…
Bases equivalent to the unit vector basis of or
P. G. Casazza
We will show that an unconditional basis in a Banach space is equivalent to the unit vector basis of or for if and only if all finitely supported b…