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Equivalence of norms for coefficients of unitary group representations


Author: Alberto Alesina
Journal: Proc. Amer. Math. Soc. 74 (1979), 343-349
MSC: Primary 22D10
DOI: https://doi.org/10.1090/S0002-9939-1979-0524314-9
MathSciNet review: 524314
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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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DOI: https://doi.org/10.1090/S0002-9939-1979-0524314-9
Article copyright: © Copyright 1979 American Mathematical Society

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