We are mainly concerned with the result of Kaplansky on the composition of two normal operators in the case in which at least one of the operators is unbounded.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-2-6, author = {Abdelkader Benali and Mohammed Hichem Mortad}, title = {Generalizations of Kaplansky's Theorem Involving Unbounded Linear Operators}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {62}, year = {2014}, pages = {181-186}, zbl = {06363764}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-2-6} }
Abdelkader Benali; Mohammed Hichem Mortad. Generalizations of Kaplansky's Theorem Involving Unbounded Linear Operators. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) pp. 181-186. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-2-6/