Roberts orthogonality and Davis-Wielandt shell (CROSBI ID 665938)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Arambašić, Ljiljana ; Berić, Tomislav ; Rajić, Rajna
engleski
Roberts orthogonality and Davis-Wielandt shell
We consider the elements a of a unital C*- algebra A which are Roberts orthogonal to the unit e of A. We present a characterization of this orthogonality in terms of the Davis- Wielandt shell of a and show that, for certain classes of elements of A, the Roberts orthogonality of a and e is equivalent to the symmetry of the numerical range of a with respect to the origin. When A is the C*-algebra of all 2x2 complex matrices, we give a complete description of the form of 2x2 matrices which are Roberts orthogonal.
Roberts orthogonality ; numerical range ; Davis-Wieland shell ; C*-algebra
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Podaci o prilogu
65-65.
2018.
objavljeno
Podaci o matičnoj publikaciji
Mathematical Inequalities and Applications 2018
Aglić Aljinović, Andrea ; Elezović, Neven ; Rodić, Mirna
Zagreb: Element
Podaci o skupu
Mathematical Inequalities and Applications, 2018.
predavanje
04.07.2018-08.07.2018
Zagreb, Hrvatska