Stein manifolds M for which O(M) has the property Ω-tilda

Aydın Aytuna

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arXiv · 1312.2760

Stein manifolds M for which O(M) has the property Ω-tilda

Aydın Aytuna

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Abstract

In this note, we consider the linear topological invariant Ω-tilda for Fréchet spaces of global analytic functions on Stein manifolds. We show that O(M), for a Stein manifold M, enjoys the property Ω-tilda if and only if every compact subset of M lies in a relatively compact sublevel set of a bounded plurisubharmonic function defined on M. We also look at some immediate implications of this characterization.

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Aydın Aytuna. 2013-12-10. Stein manifolds M for which O(M) has the property Ω-tilda. https://arxiv.org/abs/1312.2760

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