Aytuna, Aydın (2013) Stein manifolds M for which O(M) has the property Ω-tilda (Dedicated to Mikhail Mikhaylovich Dragilev on the occation of his 90th birthday). Mathematical Forum (Review of Science:The south of Russia) Vladikavkas, 7 . pp. 45-57. ISSN 1683-3414 (Print) 1814-0807 (Online)
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Official URL: http://arxiv.org/abs/1312.2760
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.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Aydın Aytuna |
| Date Deposited: | 20 Jun 2014 11:44 |
| Last Modified: | 02 Aug 2019 10:02 |
| URI: | https://research.sabanciuniv.edu/id/eprint/24063 |
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Stein manifolds M for which O(M) has the property Ω-tilda (Dedicated to Mikhail Mikhaylovich Dragilev on the occation of his 90th birthday). (deposited 15 Jan 2014 15:19)
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