Maps preserving numerical ranges of operator products
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- by Jinchuan Hou and Qinghui Di PDF
- Proc. Amer. Math. Soc. 134 (2006), 1435-1446 Request permission
Abstract:
Let $H$ be a complex Hilbert space, $B(H)$ the algebra of all bounded linear operators on $H$ and $S^a(H)$ the real linear space of all self-adjoint operators on $H$. We characterize the surjective maps on $B(H)$ or $S^a(H)$ that preserve the numerical ranges of products or Jordan triple-products of operators.References
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Additional Information
- Jinchuan Hou
- Affiliation: Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People’s Republic of China – and – Department of Mathematics, Shanxi University, Taiyuan, 030000, People’s Republic of China
- Qinghui Di
- Affiliation: Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People’s Republic of China
- Email: jhou@dns.sxtu.edu.cn
- Received by editor(s): May 1, 2004
- Received by editor(s) in revised form: December 14, 2004
- Published electronically: October 13, 2005
- Additional Notes: This work was partially supported by NNSFC and PNSFS
- Communicated by: Joseph A. Ball
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 1435-1446
- MSC (2000): Primary 47B49; Secondary 47A12
- DOI: https://doi.org/10.1090/S0002-9939-05-08101-3
- MathSciNet review: 2199190