2 problems

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Conjectured Gelfand and approximation number bound for Schatten embeddings
About 5 years old
The Gelfand–approximation conjecture. One has
openapproximation-numbers gelfand-numbers schatten-classes
010
GKS logarithm-removal conjecture for approximation numbers of Schatten embeddings
About 5 years old
GKS's conjecture. The approximation numbers satisfy
openapproximation-numbers operator-ideals schatten-classes
012