Article ID Journal Published Year Pages File Type
4623656 Journal of Mathematical Analysis and Applications 2007 12 Pages PDF
Abstract

Let R and S be commuting n-tuples of operators. We will give some spectral relations between RS and SR that extend the case of single operators. We connect the Taylor spectrum, the Fredholm spectrum and some other joint spectra of RS and SR. Applications to Aluthge transforms of commuting n-tuples are also provided.

Related Topics
Physical Sciences and Engineering Mathematics Analysis