Naslov
Strong Birkhoff–James orthogonality in commutative C*-algebras

Autori
Arambašić, Ljiljana

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

Izvornik
Book of Abstracts / - , 2021, 6-6

Skup
The 19th International Conference on Functional Equations and Inequalities

Mjesto i datum
Będlewo, Poljska, 12.09.2021. - 18.09.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
strong Birkhoff-James orthogonality, Hilbert C*-modules, commutative C*-algebras

Sažetak
General normed spaces are not equipped with an inner product. Nonetheless, there do exist several nonequivalent extensions of orthogonality from inner product spaces to general normed ones. One of the most well-known is the Birkhoff-James orthogonality: if X is a normed space and x, y elements in X, then x is Birkhoff--James orthogonal to y if the distance from x to onedimensional space spanned by y is equal to the norm of x. In a C*-algebra A we can also discuss the case when x is Birkhoff--James orthogonal to all the elements of the form ya, a\in A. In this case we say that x is strongly Birkhoff-James orthogonal to y. We discuss this kind of orthogonality in commutative 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