Backward Aluthge iterates of a hyponormal operator and scalar extensions
Volume 195 / 2009
Studia Mathematica 195 (2009), 1-10
MSC: Primary 47B20, 47B40; Secondary 47A11.
DOI: 10.4064/sm195-1-1
Abstract
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.