126 citations · 348 across the 94 of their papers we have counts for
9 papers · 1 filter
Embeddings of Banach Spaces into Banach Lattices and the Gordon-Lewis Property
Peter G. Casazza, N. J. Nielsen
In this paper we first show that if is a Banach space and is a left invariant crossnorm on , then there is a Banach lattice and an isometric embed…
Classifying Tight Weyl-Heisenberg Frames
Peter G. Casazza, Ole Christensen
A Weyl-Heisenberg frame for L^2(R) is a frame consisting of translates and modulates of a fixed function. In this paper we give necessary and sufficient conditions for this family…
Every frame is a sum of three (but nottwo) orthonormal bases, and other frame representations
Peter G. Casazza
We show that every frame for a Hilbert space H can be written as a (multiple of a) sum of three orthonormal bases for H. A result of N.J. Kalton is included which shows that this i…
Local theory of frames and Schauder bases for Hilbert space
Peter G. Casazza
We develope a local theory for frames on finite dimensional Hilbert spaces. In particular, a bounded frame on a finite dimensional Hilbert space contains a subset which is a good R…
Weyl-Heisenberg frames for subspaces of L^2(R)
Peter G. Casazza, Ole Christensen
We give sufficient conditions for translates and modulates of a function g in L^2(R) to be a frame for its closed linear span. Even in the case where this family spans all of L^2(R…
Uniqueness of unconditional bases in c_0-products
Peter G. Casazza, Nigel J. Kalton
We give counterexamples to a conjecture of Bourgain, Casazza, Lindenstrauss and Tzafriri that if X has a unique unconditional basis (up to permutation) then so does c_0(X). In part…
Frames of translates
Peter G. Casazza, Ole Christensen, Nigel J. Kalton
We give necessary and sufficient conditions for a subfamily of regularly spaced translates of a function to form a frame (resp. a Riesz basis) for its span. One consequence is that…
Some more weak Hilbert spaces
George Androulakis, Peter G. Casazza, Denka N. Kutzarova
We give new examples of weak Hilbert spaces.
Genus n Banach spaces
Peter G. Casazza, Mark C. Lammers
We show that the classification problem for genus n Banach spaces can be reduced to the unconditionally primary case and that the critical case there is n=2. It is further shown th…