Let H be an infinite-dimensional complex Hilbert space. We give a characterization of surjective linear mappings on B(H) that preserve similarity in both directions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-2-5, author = {Tatjana Petek}, title = {Linear mappings preserving similarity on B(H)}, journal = {Studia Mathematica}, volume = {162}, year = {2004}, pages = {177-186}, zbl = {1065.47039}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-2-5} }
Tatjana Petek. Linear mappings preserving similarity on B(H). Studia Mathematica, Tome 162 (2004) pp. 177-186. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-2-5/