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Binary frames
with prescribed dot products and frame operator
Veronika Furst and Eric P. Smith
Vol. 11 (2018), No. 3, 519–540
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Abstract |
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This paper extends three results from classical finite frame theory over real or complex numbers to binary frames for the vector space . Without the notion of inner products or order, we provide an analog of the “fundamental inequality” of tight frames. In addition, we prove the binary analog of the characterization of dual frames with given inner products and of general frames with prescribed norms and frame operator. |
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Keywords
frames, binary vector spaces, frame operators, Gramian
matrices
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Mathematical Subject Classification 2010
Primary: 15A03, 15A23, 15B33, 42C15
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Milestones
Received: 24 May 2017
Accepted: 17 July 2017
Published: 20 October 2017
Communicated by David Royal Larson
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Authors |
| Veronika Furst | |
| Department of Mathematics Fort Lewis College Durango, CO United States |
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| Eric P. Smith | |
| Department of Mathematics Fort Lewis College Durango, CO United States |
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