A note on intertwining $M$-hyponormal operators
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- by R. L. Moore, D. D. Rogers and T. T. Trent PDF
- Proc. Amer. Math. Soc. 83 (1981), 514-516 Request permission
Abstract:
If $AX = X{B^ * }$ with $A$ and $B$ $M$-hyponormal, then ${A^ * }X = XB$. Furthermore, ${({\text {ran}}\;X)^ - }$ reduces $A$, ker $X$ reduces $B$, and $A|{({\text {ran}}\;X)^ - }$ and ${B^ * }|{\ker ^ \bot }X$ are unitarily equivalent normal operators. An asymptotic version is also proved.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 514-516
- MSC: Primary 47B20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627681-X
- MathSciNet review: 627681