Geodesic
Mappings preserving zero products
M. A. Chebotar1 ; W.-F. Ke2 ; P.-H. Lee3 ; N.-C. Wong4
1 Chang Jung Christian University Kway Jen Tainan 711, Taiwan
2 Department of Mathematics National Cheng Kung University Tainan 701, Taiwan
3 Department of Mathematics National Taiwan University Taipei 106, Taiwan
4 Department of Applied Mathematics National Sun Yat-sen University Kaohsiung 804, Taiwan
Studia Mathematica, Tome 155 (2003) no. 1, pp. 77-94

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $\theta : {{\cal M}}\to {{\cal N}}$ be a zero-product preserving linear map between algebras. We show that under some mild conditions $\theta $ is a product of a central element and an algebra homomorphism. Our result applies to matrix algebras, standard operator algebras, $C^*$-algebras and $W^*$-algebras.
DOI : 10.4064/sm155-1-6
Keywords: theta cal cal zero product preserving linear map between algebras under mild conditions theta product central element algebra homomorphism result applies matrix algebras standard operator algebras * algebras * algebras

M. A. Chebotar 1 ; W.-F. Ke 2 ; P.-H. Lee 3 ; N.-C. Wong 4

1 Chang Jung Christian University Kway Jen Tainan 711, Taiwan
2 Department of Mathematics National Cheng Kung University Tainan 701, Taiwan
3 Department of Mathematics National Taiwan University Taipei 106, Taiwan
4 Department of Applied Mathematics National Sun Yat-sen University Kaohsiung 804, Taiwan 
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M. A. Chebotar; W.-F. Ke; P.-H. Lee; N.-C. Wong. Mappings preserving zero products. Studia Mathematica, Tome 155 (2003) no. 1, pp. 77-94. doi: 10.4064/sm155-1-6

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