Naslov
Symmetrized strong Birkhoff-James orthogonality in C*-algebras

Autori
Arambašić, Ljiljana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
7th Croatian Mathematical Congress / - Split, 2022, 25-25

Skup
7th Croatian Mathematical Congress

Mjesto i datum
Split, Hrvatska, 15.06.2022. - 18.06.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Recenziran

Ključne riječi
C*-algebra, orthogonality, Birkhoff-James orthogonality

Sažetak
There are several nonequivalent extensions of orthogonality from inner product spaces to general normed spaces. One of the most well-known is the Birkhoff-James orthogonality: if X is a normed space and x, y∈X then x is Birkhoff-James orthogonal to y if ‖x+λy‖≥‖x‖ for all scalars λ. In a C*-algebra A we can also discuss the case when x∈A is Birkhoff-James orthogonal to all the elements of the form ya, a∈A. In this case we say that x is strongly Birkhoff-James orthogonal to y. We discuss this kind of orthogonality in some special classes of C*-algebras. This is a joint work with A. Guterman, B. Kuzma, R. Rajić and S. Zhilina.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA