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/