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On symmetry of the (strong) Birkhoff-James orthogonality in Hilbert C*-modules (CROSBI ID 225245)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Arambašić, Ljiljana ; Rajić, Rajna
On symmetry of the (strong) Birkhoff-James orthogonality in Hilbert C*-modules // Annals of functional analysis, 7 (2016), 1; 17-23. doi: 10.1215/20088752-3158195
Podaci o odgovornosti
Arambašić, Ljiljana ; Rajić, Rajna
engleski
On symmetry of the (strong) Birkhoff-James orthogonality in Hilbert C*-modules
In this note, we prove that the Birkhoff-James orthogonality, as well as the strong Birkhoff-James orthogonality, is a symmetric relation in a full Hilbert A-module V if and only if at least one of the underlying C*-algebras A or K(V) is isomorphic to C.
Hilbert C*-modules ; inner product orthogonality ; Birkhoff-James orthogonality ; strong Birkhoff-James orthogonality ; symmetry
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Podaci o izdanju
7 (1)
2016.
17-23
objavljeno
2639-7390
2008-8752
10.1215/20088752-3158195
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