47 citations · 66 across the 10 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…