Orthograph related to mutual strong Birkhoff-James orthogonality in C*-algebras (CROSBI ID 285486)
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Podaci o odgovornosti
Arambašić, Ljiljana ; Guterman, Alexander ; Kuzma, Bojan ; Rajić, Rajna ; Zhilina, Svetlana
engleski
Orthograph related to mutual strong Birkhoff-James orthogonality in C*-algebras
We study the relation of mutual strong Birkhoff- James orthogonality in two classical C*-algebras: the C*-algebra B(H) of all bounded linear operators on a complex Hilbert space H and the commutative, possibly nonunital, C*-algebra. With the help of the induced graph it is shown that this relation alone can characterize right invertible elements. Moreover, in the case of commutative unital C*-algebras, it can detect the existence of a point with a countable local basis in the corresponding compact Hausdorff space.
(strong) Birkhoff–James orthogonality ; C*-algebra ; Graph · Diameter ; Right invertible element
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Podaci o izdanju
14 (4)
2020.
1751-1772
objavljeno
2662-2033
1735-8787
10.1007/s43037-020-00074-x