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arXiv · 1001.0326

Herz-Schur Multipliers and Non-Uniformly Bounded Representations of Locally Compact Groups

Troels Steenstrup
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Abstract

Let G be a second countable, locally compact group and let f be a continuous Herz-Schur multiplier on G. Our main result gives the existence of a (not necessarily uniformly bounded) strongly continuous representation on a Hilbert space, such that f is the coefficient of this representation with respect to two vectors with bounded orbit. Moreover, we show that the norm of the representation of an element g from G is at most exponential in terms of the metric distance from g to the identity element of G.

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BibTeXRIS

Troels Steenstrup. 2010-01-03. Herz-Schur Multipliers and Non-Uniformly Bounded Representations of Locally Compact Groups. https://arxiv.org/abs/1001.0326

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