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Maps preserving numerical ranges of operator products
Authors:
Jinchuan Hou and Qinghui Di
Journal:
Proc. Amer. Math. Soc. 134 (2006), 1435-1446
MSC (2000):
Primary 47B49; Secondary 47A12
Posted:
October 13, 2005
MathSciNet review:
2199190
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Abstract: Let  be a complex Hilbert space,  the algebra of all bounded linear operators on  and  the real linear space of all self-adjoint operators on  . We characterize the surjective maps on  or  that preserve the numerical ranges of products or Jordan triple-products of operators.
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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
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08101-3
PII:
S 0002-9939(05)08101-3
Keywords:
Hilbert spaces,
numerical ranges,
Jordan triple-products,
Jordan isomorphisms
Received by editor(s):
May 1, 2004
Received by editor(s) in revised form:
December 14, 2004
Posted:
October 13, 2005
Additional Notes:
This work was partially supported by NNSFC and PNSFS
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2005 American Mathematical Society
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