Abstract
We characterize a property that is useful for constructing large spaces of universal functions in a wide variety of settings. In particular, we show that given any sequence of automorphisms of the ball that admits a universal function $${f\in H^\infty(B^n)}$$ , there exists a closed infinite dimensional subspace, generated by inner functions, that is isometric to $${\ell^{1}}$$ . We put our results in the context of bounded symmetric domains.
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