Maps preserving maximal numerical range of operator products.
- Resource Type
- Article
- Authors
- Dhifaoui, K.; Mabrouk, M.
- Source
- QM - Quaestiones Mathematicae. May2024, Vol. 47 Issue 5, p971-981. 11p.
- Subject
- *UNITARY operators
*LINEAR operators
- Language
- ISSN
- 1607-3606
Let be a complex Hilbert space and denote by the algebra of all linear bounded operators on. For any , denote by V0(T) its maximal numerical range. We prove that if is a surjective map such that for any then there exists a unitary operator such that ϕ(T) = ±UTU* (resp. ϕ(T) = λUTU* with |λ| = 1) for any. [ABSTRACT FROM AUTHOR]