Geodesic
Mappings preserving zero products
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
Studia Mathematica, Tome 155 (2003) no. 1, pp. 77-94 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_sm155_1_6,
     author = {M. A. Chebotar and W.-F. Ke and P.-H. Lee and N.-C. Wong},
     title = {Mappings preserving zero products},
     journal = {Studia Mathematica},
     pages = {77--94},
     year = {2003},
     volume = {155},
     number = {1},
     doi = {10.4064/sm155-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm155-1-6/}
}
TY  - JOUR
AU  - M. A. Chebotar
AU  - W.-F. Ke
AU  - P.-H. Lee
AU  - N.-C. Wong
TI  - Mappings preserving zero products
JO  - Studia Mathematica
PY  - 2003
SP  - 77
EP  - 94
VL  - 155
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm155-1-6/
DO  - 10.4064/sm155-1-6
LA  - en
ID  - 10_4064_sm155_1_6
ER  - 
%0 Journal Article
%A M. A. Chebotar
%A W.-F. Ke
%A P.-H. Lee
%A N.-C. Wong
%T Mappings preserving zero products
%J Studia Mathematica
%D 2003
%P 77-94
%V 155
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm155-1-6/
%R 10.4064/sm155-1-6
%G en
%F 10_4064_sm155_1_6
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

Cité par Sources :