On the Numerical Range of the Generalized Aluthge Transforms
Dongjun Chen · Journal of Yunnan Normal University · 2008
Let T∈B(H),T=U|T| is a polar decomposition of T,then defined.Tt=|T|tU|T|1-t and Tt~(*)=|T*|tU|T*|1-t to be the generalized Aluthge transform and the genralized*-Aluthge transform of T respectively,t∈(0,1).We discuss mainly on the relationships among them,including the essential spectrum,numerical rnage and the essential numerical range.