TY - JOUR
ID - 18096
TI - On strongly Jordan zero-product preserving maps
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Khoddami, Ali Reza
AD - Department of Pure Mathematics, University of Shahrood, P. O. Box 3619995161-316, Shahrood, Iran.
Y1 - 2016
PY - 2016
VL - 03
IS - 1
SP - 53
EP - 61
KW - Strongly zero-product preserving map
KW - Strongly Jordan zero-product preserving map
KW - Zero-product preserving map
KW - Jordan zero-product preserving map
KW - Tensor product
DO -
N2 - In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of Jordan zero-product preserving maps. In this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly Jordan zero-product preserving maps are completely different. Also, we prove that the direct product and the composition of two strongly Jordan zero-product preserving maps are again strongly Jordan zero-product preserving maps. But this fact is not the case for tensor product of them in general. Finally, we prove that every $*-$preserving linear map from a normed $*-$algebra into a $C^*-$algebra that strongly preserves Jordan zero-products is necessarily continuous.
UR - https://scma.maragheh.ac.ir/article_18096.html
L1 - https://scma.maragheh.ac.ir/article_18096_d23368a43afbd4357de9825202e142e0.pdf
ER -