clopen.solutions

Open problems

980 registered problems.

OP-00071 Open
Audenaert's two-row Schatten norm-compression conjecture
FA · block matrices · norm inequalities · OpenProblemsInNLA · Schatten norms
OP-00102 Lean verified
Nobori's spectral-middle-factor commutator conjecture
FA · Böttcher–Wenzel inequality · commutators · norm inequalities · OpenProblemsInNLA
OP-00144 Partially resolved
Sharp subquadratic Lee constants for sums of matrices
FA · matrix absolute values · norm inequalities · OpenProblemsInNLA · Schatten norms
OP-00145 Partially resolved
Dimension-independent Hlawka constants for Schatten norms
FA · Hlawka-type inequalities · norm inequalities · OpenProblemsInNLA · Schatten norms
OP-00249 Solution claimed
Schatten norm complement involving Lin's positive definite quantity
FA · matrix geometric means · norm inequalities · OpenProblemsInNLA · Schatten norms
OP-00266 Open
Bourin's crossed-Heinz inequality
FA · norm inequalities · OpenProblemsInNLA · unitarily invariant norms