2 problems

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The conjecture that the PT inner product is the appropriate inner product
PT-inner-product conjecture. The appropriate inner product is conjectured to be
Conjecturerefutedinner-products pt-symmetry quantum-mechanicsarXiv posted 2 days ago
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The inner-product characterization of equivalent frames
Equivalent-frame inner-product conjecture. $F$ and $G$ are equivalent if and only if
Conjectureopenequivalence frame-theory inner-productsarXiv posted 2 days ago

The conjecture that the PT inner product is the appropriate inner product