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Numerical Radius Perserving Operators on B(H)

Numerical Radius Perserving Operators on B(H)

Let H be a Hilbert space over @ and let B(H) denote the vector space of all bounded linear operators on H .We prove that a linear isomorphism T : B(H) + B ( H ) is numerical radius-preserving if and only if it is a multiply of a C*-isomorphism …