Abstract
Let $G$ be a MAP group, let $\mu$ be a bounded complex-valued Borel measure on $G$, and let $T_{\mu}$ be the corresponding convolution operator on $L^{1}(G)$. Let $X$ be a Banach space and let $S$ be a continuous linear operator on $X$. We show that every linear operator $\Phi:X \rightarrow L^{1}(G)$ such that $\Phi S = T_{\mu} \Phi$ is continuous if, and only if, the pair $(S,T_{\mu})$ has no critical eigenvalue.
Citation
J. Alaminos. J. Extremera. A. R. Villena. "A NOTE ON THE CONTINUITY OF OPERATORS INTERTWINING WITH CONVOLUTION OPERATORS." Taiwanese J. Math. 12 (2) 337 - 340, 2008. https://doi.org/10.11650/twjm/1500574158
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