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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…
math.FA2021
What does Birkhoff-James orthogonality know about the norm?
Ljiljana Arambašić, Alexander Guterman, Bojan Kuzma +2
It is shown that Birkhoff-James orthogonality knows everything about the smooth norms in reflexive Banach spaces and can also compute the dimensions of the underlying normed spaces…