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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Operator radii of commuting products


Authors: K. Okubo and T. Ando
Journal: Proc. Amer. Math. Soc. 56 (1976), 203-210
MSC: Primary 47A20
DOI: https://doi.org/10.1090/S0002-9939-1976-0405132-6
MathSciNet review: 0405132
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Abstract: Operator radii $ {w_\rho }(T)$ for a bounded linear operator $ T$ on a Hilbert space were introduced in connection with unitary $ \rho $-dilations. We shall be concerned with universal estimates for the ratios

$\displaystyle {w_\rho }(ST)/({w_\sigma }(S) \cdot {w_\rho }(T))$

for commuting operators $ S,T$ and $ \sigma ,\rho > 0$.

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DOI: https://doi.org/10.1090/S0002-9939-1976-0405132-6
Keywords: Operator radius, numerical radius, contraction, unitary $ \rho $-dilation, class $ {\mathcal{C}_\rho }$, commuting operators, Hilbert space
Article copyright: © Copyright 1976 American Mathematical Society

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