Uniformly bounded representations of SL2R
Francesca Astengo, Michael Cowling, Bianca Di Blasio
TL;DR
This paper calculates the norm of irreducible uniformly bounded representations of SL2R and identifies the minimal norm within a specific class of these representations.
Contribution
It provides a precise computation of the norm for these representations and establishes the minimality of the Kunze-Stein version within their similarity class.
Findings
Computed the norm of irreducible uniformly bounded representations of SL2R.
Showed the Kunze-Stein version has minimal norm among similar representations.
Abstract
We compute the "norm" of irreducible uniformly bounded representations of SL2R. We show that the Kunze-Stein version of the uniformly bounded representations has minimal norm in the similarity class of uniformly bounded representations.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Operator Algebra Research · Advanced Algebra and Geometry