We estimate the norms of many matrix coefficients of irreducible uniformly bounded representations of SL(2, 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
Astengo, F., Cowling, M., Di Blasio, B. (2018). Uniformly bounded representations and completely bounded multipliers of SL(2,R). ADVANCES IN OPERATOR THEORY, 3(1), 247-270 [10.22034/aot.1707-1207].
Uniformly bounded representations and completely bounded multipliers of SL(2,R)
Di Blasio B
2018
Abstract
We estimate the norms of many matrix coefficients of irreducible uniformly bounded representations of SL(2, 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
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