Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616775 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
We study orthogonality preserving surjective linear maps from a unital C∗C∗-algebra with non-zero socle AA to a C∗C∗-algebra. In particular, we prove that, when AA has essential socle, every biorthogonality preserving surjective linear map T:A→BT:A→B is automatically bounded and a Jordan ∗∗-isomorphism multiplied by an invertible element.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M. Burgos,