Show that every finite spanning set for is a frame for (frame: ) and that every finite frame is a spanning set for
Last edited by alighieri; Mar 4th 2010 at 05:18 AM.
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finite frame->spanning Assume is a frame, but not a spanning set nontrivial null space for the matrix with rows such that but Contradiction of framing condition for any postive A
Thanks. Also, half of the other direction is easy: by Cauchy-Schwartz and spanning such that
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