Mappings preserving different types of orthogonality on B(H) (CROSBI ID 665939)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Arambašić, Ljiljana ; Rajić, Rajna
engleski
Mappings preserving different types of orthogonality on B(H)
Let B(H) be the algebra of all bounded linear operators acting on a complex Hilbert space H. Linear preserver problems on B(H) concern the characterizations of all linear mappings on B(H) that leave certain functions, subsets, relations, etc. invariant We characterize the class of surjective (conjugate) linear mappings on B(H) that preserve the (strong) Birkhoff-James orthogonality in both directions. We also describe mappings on B(H) preserving the orthogonality of ranges of Hilbert space operators in terms of the Roberts orthogonality.
Birkhoff-James orthogonality ; strong Birkhoff-James orthogonality ; Roberts orthogonality ; linear preserver ; rank-one operators
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Podaci o prilogu
2018.
objavljeno
Podaci o matičnoj publikaciji
European Women in Mathematics
Podaci o skupu
EWM General Meeting 2018
poster
03.09.2018-07.09.2018
Graz, Austrija