Albideewi, A., Mabruk, M. (2017). On maps compressing the numerical range between $C^*$-algebras. Advances in Operator Theory, 2(2), 108-113. doi: 10.22034/aot.1612-1067
Aschwag Fahad Albideewi; Mohamed Mabruk. "On maps compressing the numerical range between $C^*$-algebras". Advances in Operator Theory, 2, 2, 2017, 108-113. doi: 10.22034/aot.1612-1067
Albideewi, A., Mabruk, M. (2017). 'On maps compressing the numerical range between $C^*$-algebras', Advances in Operator Theory, 2(2), pp. 108-113. doi: 10.22034/aot.1612-1067
Albideewi, A., Mabruk, M. On maps compressing the numerical range between $C^*$-algebras. Advances in Operator Theory, 2017; 2(2): 108-113. doi: 10.22034/aot.1612-1067
On maps compressing the numerical range between $C^*$-algebras
In this paper, we deal with the problem of characterizing linear maps compressing the numerical range. A counterexample is given to show that such a map need not be a Jordan *-homomorphism in general even if the C*-algebras are commutative. Next, under an auxiliary condition we show that such a map is a Jordan *-homomorphism.