Let R and S be two operators on a Hilbert space. We discuss the link between the subscalarity of RS and SR. As an application, we show that backward Aluthge iterates of hyponormal operators and p-quasihyponormal operators are subscalar.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-1-1, author = {C. Benhida and E. H. Zerouali}, title = {Backward Aluthge iterates of a hyponormal operator and scalar extensions}, journal = {Studia Mathematica}, volume = {192}, year = {2009}, pages = {1-10}, zbl = {1185.47019}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-1-1} }
C. Benhida; E. H. Zerouali. Backward Aluthge iterates of a hyponormal operator and scalar extensions. Studia Mathematica, Tome 192 (2009) pp. 1-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-1-1/