3 problems

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Consecutive-partition conjecture for optimal frame completions
Consecutive-partition conjecture. The minimizing vector $\mu$ has the following structure: (1) each $J_j$ and $K_j$ consists of consecutive indices; and (2) the partitions of…
Conjectureopenframe-completions majorization optimizationarXiv posted 3 days ago
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Majorization-minimizer conjecture for frame completions
Majorization-minimizer conjecture. There exists $\mu\in E(\mathcal F_0,\mathbf a)$ such that
Conjectureopenfinite-dimensional-operator-theory frame-completions majorizationarXiv posted 3 days ago
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The lifting conjecture for spectral curves of frame completions
The lifting conjecture. The lifting problem for the curve above has a solution.
Conjectureopenframe-completions majorization operator-theoryarXiv posted 3 days ago

Consecutive-partition conjecture for optimal frame completions