Geodesic
SOME CONNECTIONS BETWEEN AN OPERATOR AND ITS ALUTHGE TRANSFORM
Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 167-175

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DOI

Associated with $T=U|T|$ (polar decomposition) in ${\cal{L}}({\bf H})$ is a related operator $\skew3\tilde{T} = |T|^{\frac{1}{2}}U|T|^{\frac{1}{2}}$, called the Aluthge transform of $T$. In this paper we study some connections between $T$ and $\skew3\tilde{T}$, including the following relations; the single valued extension property, an analogue of the single valued extension property on $W^{m}(D, {\bf H})$, Dunford's property $(C)$ and the property $(\beta)$.
DOI : 10.1017/S0017089504002149
Mots-clés : 47B20, 47A15 
KIM, MEE-KYOUNG; KO, EUNGIL. SOME CONNECTIONS BETWEEN AN OPERATOR AND ITS ALUTHGE TRANSFORM. Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 167-175. doi: 10.1017/S0017089504002149
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