Strong Birkhoff–James orthogonality in commutative C*-algebras (CROSBI ID 706920)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Arambašić, Ljiljana
engleski
Strong Birkhoff–James orthogonality in commutative C*-algebras
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.
strong Birkhoff-James orthogonality, Hilbert C*-modules, commutative C*-algebras
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Podaci o prilogu
6-6.
2021.
objavljeno
Podaci o matičnoj publikaciji
Book of Abstracts
Podaci o skupu
The 19th International Conference on Functional Equations and Inequalities
predavanje
12.09.2021-18.09.2021
Będlewo, Poljska