Astengo, F., Cowling, M., Di Blasio, B. (2018). Uniformly bounded representations and completely bounded multipliers of ${\rm SL}(2,\mathbb{R})$. Advances in Operator Theory, 3(1), 247-270. doi: 10.22034/aot.1707-1207
Francesca Astengo; Michael G. Cowling; Bianca Di Blasio. "Uniformly bounded representations and completely bounded multipliers of ${\rm SL}(2,\mathbb{R})$". Advances in Operator Theory, 3, 1, 2018, 247-270. doi: 10.22034/aot.1707-1207
Astengo, F., Cowling, M., Di Blasio, B. (2018). 'Uniformly bounded representations and completely bounded multipliers of ${\rm SL}(2,\mathbb{R})$', Advances in Operator Theory, 3(1), pp. 247-270. doi: 10.22034/aot.1707-1207
Astengo, F., Cowling, M., Di Blasio, B. Uniformly bounded representations and completely bounded multipliers of ${\rm SL}(2,\mathbb{R})$. Advances in Operator Theory, 2018; 3(1): 247-270. doi: 10.22034/aot.1707-1207
Uniformly bounded representations and completely bounded multipliers of ${\rm SL}(2,\mathbb{R})$
We estimate the norms of many matrix coefficients of irreducible uniformly bounded representations of ${\rm SL}(2,\mathbb{R})$ as completely bounded multipliers of the Fourier algebra. Our results suggest that the known inequality relating the uniformly bounded norm of a representation and the completely bounded norm of its coefficients may not be optimal.