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/