Self-adjoint Operator Algebras Preserving the c-Numerical Radius Mapping of Operator Products

doi:10.11908/j.issn.0253-374x.19337

Home > Archive>Volume 48, Issue 5, 2020 >751-755. DOI:10.11908/j.issn.0253-374x.19337

Self-adjoint Operator Algebras Preserving the c-Numerical Radius Mapping of Operator Products
DOI:
                        10.11908/j.issn.0253-374x.19337
                    
CSTR:
                        [cstr]
                    
Author:
                        ZHANG Yanfang1ZHANG Yanfang
School of Mathematical Sciences, Tongji University, Shanghai 200092, China
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FANG Xiaochun1FANG Xiaochun
School of Mathematical Sciences, Tongji University, Shanghai 200092, China
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Affiliation:School of Mathematical Sciences, Tongji University, Shanghai 200092, China
Clc Number:O177.1
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Abstract:

Let be the real Jordan algebra of all self- adjoint operators on a complex Hilbert space.We characterize the surjective maps preserving the -numerical radius of products for operators in.Further, for a special kind of,the form of surjections preserving the -numerical range of products for operators in is obtained.

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mathml";>-numerical radius;

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mathml";>-numerical range;preservers

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ZHANG Yanfang, FANG Xiaochun. Self-adjoint Operator Algebras Preserving the c-Numerical Radius Mapping of Operator Products[J].同济大学学报(自然科学版),2020,48(5):751~755

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Received:August 19,2019
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Online: June 05,2020
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