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math.FA2011
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…
math.FA2011
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…