Frames Generated by Subspace Addition
Technical research rept.
MARYLAND UNIV COLLEGE PARK SYSTEMS RESEARCH CENTER
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Given two subspaces M and N of a Hilbert space, and frames associated with each of the subspaces, the question addressed in this report is that of determining when the union of the two frames is a frame for the direct sum space M circle plus N. The author provides sufficient conditions for the union of the two frames to be a frame for M circle plus N and also estimates for the frame bounds. The results discussed here are given in terms of the relative geometry of subspaces. Some simple examples in which the frame bounds can be explicitly computed are provided to demonstrate the accuracy of the frame bound estimates.
- Numerical Mathematics
- Theoretical Mathematics