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math.FA2026
Poset-refined majorization relations
Alexander E. Guterman, Michael M. Wolf
Several classical majorization relations for sums or products of matrices involve a majorizing vector of perfectly aligned eigenvalues or singular values. By relaxing the order of…
math.FA2024★ 1 cited
Birkhoff-James classification of norm's properties
Alexander Guterman, Bojan Kuzma, Sushil Singla +1
For an arbitrary normed space over a field , we define the directed graph induced by Birkhoff-James orthogona…