Invertibility preserving linear mappings into $M_2({\mathbb C})$
Volume 186 / 2008
Studia Mathematica 186 (2008), 41-45
MSC: 46H99, 47B48.
DOI: 10.4064/sm186-1-5
Abstract
We study discontinuous invertibility preserving linear mappings from a Banach algebra into the algebra of $n\times n$ matrices and give an explicit representation of such a mapping when $n=2$.