What does Birkhoff-James orthogonality know about the norm?

izvorni znanstveni rad

izvorni znanstveni rad

What does Birkhoff-James orthogonality know about the norm?

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2023
Časopis Publicationes mathematicae
Volumen 102
Svesčić 1/2
Stranice str. 197-218
DOI 10.5486/PMD.2023.9388
ISSN 0033-3883
Status objavljeno

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 space; Birkhoff–James orthogonality; graph; diameter; clique