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In this note, we consider the linear topological invariant {\Omega}-tilda forFr\'echet spaces of global analytic functions on Stein manifolds. We show thatO(M), for a Stein manifold M, enjoys the property {\Omega}-tilda if and only ifevery compact subset of M lies in a relatively compact sublevel set of abounded plurisubharmonic function defined on M. We also look at some immediateimplications of this characterization.

Stein manifolds M for which O(M) has the property {\Omega}-tilda