= Uniformly bounded representation
{wiki=Uniformly_bounded_representation}
Uniformly bounded representations are a concept from the field of functional analysis and representation theory, often specifically related to representation theory of groups and algebras. The idea centers around the notion of boundedness across a family of representations. In more detail, suppose we have a family of representations \\((\\pi_\\alpha)_\{\\alpha \\in A\}\\) of a group \\(G\\) on a collection of Banach spaces \\(X_\\alpha\\) indexed by some set \\(A\\).
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