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ON MAPS COMPRESSING THE NUMERICAL RANGE BETWEEN C-ALGEBRAS
Journal article   Peer reviewed

ON MAPS COMPRESSING THE NUMERICAL RANGE BETWEEN C-ALGEBRAS

Ashwaq Fahad Albideewi and Mohamed Mabrouk
Advances in operator theory, Vol.2(2), pp.108-113
01/03/2017
DOI: https://doi.org/10.22034/aot.1612-1067

Abstract

Mathematics Physical Sciences Science & Technology
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.

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