| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621401 | Journal of Mathematical Analysis and Applications | 2008 | 6 Pages |
Abstract
Let H and K be bounded positive operators on a Hilbert space, and assume that H is nonsingular. Based on Pedersen and Takesaki's research on the operator equation K=THT, Furuta and Bach gave deep discussion on the equation where n is a natural number. As a continuation, this paper is to consider the equation where p>0, r>0 and p⩾δ>−r. As applications, we prove that the inclusion relations among class wA(p,r) operators are strict and show a generalization of Aluthge's result.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
