Research Article

Maps preserving maximal numerical range of operator products

Published in: Quaestiones Mathematicae
Volume 47 , issue 5, pages: 971–981

DOI: 10.2989/16073606.2023.2276751

Author(s): K. DhifaouiUniversity of Sfax, Tunisia, M. MabroukUniversity of Sfax, Tunisia,

Keywords: Primary: 15A86, 47A12, 47B49, Linear preservers, maximal numerical range,

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Abstract

Let be a complex Hilbert space and denote by the algebra of all linear bounded operators on . For any , denote by V ₀(T) its maximal numerical range. We prove that if is a surjective map such that

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Research Article

Maps preserving maximal numerical range of operator products

Abstract

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