Numerical Radius Perserving Operators on B(H)
Copyright policy )Numerical Radius Perserving Operators on B(H)
Summary: Let \(H\) be a Hilbert space over \(\mathbb{C}\) and let \(B(H)\) denote the vector space of all bounded linear operators on \(H\). We prove that a linear isomorphism \(T: B(H)\to B(H)\) is numerical radius-preserving if and only if it is a multiply of a \(C^*\)-isomorphism by a scalar of modulus one.
- University of Hong Kong China (People's Republic of)
- University of Hong Kong (香港大學) China (People's Republic of)
Numerical range, numerical radius, linear isomorphism, \(C^*\)-isomorphism, Transformers, preservers (linear operators on spaces of linear operators), Mathematics, vector space of all bounded linear operators, numerical radius-preserving
Numerical range, numerical radius, linear isomorphism, \(C^*\)-isomorphism, Transformers, preservers (linear operators on spaces of linear operators), Mathematics, vector space of all bounded linear operators, numerical radius-preserving
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