%0 Journal Article
%T On strongly Jordan zero-product preserving maps
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Khoddami, Ali Reza
%D 2016
%\ 02/01/2016
%V 03
%N 1
%P 53-61
%! On strongly Jordan zero-product preserving maps
%K Strongly zero-product preserving map
%K Strongly Jordan zero-product preserving map
%K Zero-product preserving map
%K Jordan zero-product preserving map
%K Tensor product
%R
%X 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.
%U https://scma.maragheh.ac.ir/article_18096_d23368a43afbd4357de9825202e142e0.pdf