The operator equation Kp=Hδ2T12(T12Hδ+rT12)p−δδ+rT12Hδ2 and its applications☆
The operator equation Kp=Hδ2T12(T12Hδ+rT12)p−δδ+rT12Hδ2 and its applications☆
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DOI：
10.1016/j.jmaa.2007.10.043
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发表时间：
2008-05
影响因子：
1.3
通讯作者：
Jiangtao Yuan;Zongsheng Gao
中科院分区：
文献类型：
--
作者：
Jiangtao Yuan;Zongsheng Gao
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 [Formula: see text] where n is a natural number. As a continuation, this paper is to consider the equation [Formula: see text] 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.
