Equivalence of norms for coefficients of unitary group representations

Alesina, Alberto

doi:10.1090/S0002-9939-1979-0524314-9

Equivalence of norms for coefficients of unitary group representations
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Proc. Amer. Math. Soc. 74 (1979), 343-349 Request permission

Abstract:

We study the equivalence between the $B(G)$ norm and the supremum norm in the Banach space ${A_\pi }$, the closed subspace of $B(G)$ which is generated by the coefficients of a continuous, unitary, irreducible, infinite dimensional representation $\pi$ of a locally compact, noncompact group G.

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