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What does Birkhoff-James orthogonality know about the norm?

Ljiljana Arambašić

Sažetak

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.

Ključne riječi

normed vector spaceBirkhoff–James orthogonalitygraphdiameterclique