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Backward Aluthge iterates of a hyponormal operator and scalar extensions

C. Benhida; E. H. Zerouali — 2009

Studia Mathematica

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.

Back to RS-SR spectral theory

C. Benhida; E. H. Zerouali — 2007

Banach Center Publications

Let X, Y be Banach spaces, S: X → Y and R: Y → X be bounded operators. We investigate common spectral properties of RS and SR. We then apply the result obtained to extensions, Aluthge transforms and upper triangular operator matrices.

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