The Birkhoff–James orthogonality in Hilbert C*- modules (CROSBI ID 189558)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Arambašić, Ljiljana ; Rajić, Rajna
engleski
The Birkhoff–James orthogonality in Hilbert C*- modules
In this paper we characterize the Birkhoff–James orthogonality for elements of a Hilbert C*-module in terms of states of the underlying C*-algebra. We also show that the Birkhoff–James orthogonality in a Hilbert C*-module over a C*-algebra A and orthogonality with respect to the A-valued inner product coincide if and only if A is isomorphic to C. In addition, some new results concerning the case of equality in the triangle inequality for elements of a Hilbert C*-module are obtained.
Birkhoff-James orthogonality ; C*-algebra ; Hilbert C*-module ; Triangle inequality ; State
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Podaci o izdanju
437 (7)
2012.
1913-1929
objavljeno
0024-3795
1873-1856
10.1016/j.laa.2012.05.011