The Birkhoff-James orthogonality in Hilbert C*-modules

sažetak izlaganja sa skupa

sažetak izlaganja sa skupa

The Birkhoff-James orthogonality in Hilbert C*-modules

Vrsta prilog sa skupa (u zborniku)
Tip sažetak izlaganja sa skupa
Godina 2012
Nadređena publikacija Book of Abstracts, 5th Croatian Mathematical Congress
Stranice str. 71-71
Status objavljeno

Sažetak

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.

Ključne riječi

Birkhoff-James orthogonality ; C*-algebra ; Hilbert C*-module ; state