We study discontinuous invertibility preserving linear mappings from a Banach algebra into the algebra of n × n matrices and give an explicit representation of such a mapping when n = 2.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-5, author = {M. H. Shirdarreh Haghighi}, title = {Invertibility preserving linear mappings into M2(C)}, journal = {Studia Mathematica}, volume = {187}, year = {2008}, pages = {41-45}, zbl = {1152.47028}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-5} }
M. H. Shirdarreh Haghighi. Invertibility preserving linear mappings into M₂(ℂ). Studia Mathematica, Tome 187 (2008) pp. 41-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-1-5/