Stein manifolds M for which O(M) has the property {\Omega}-tilda
| Autor: | Aytuna, Aydın |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Mathematical Forum v.7 (Review of Science: The south of Russia) Vladikavkaz 2013 p. 45-57 |
| Druh dokumentu: | Working Paper |
| Popis: | In this note, we consider the linear topological invariant {\Omega}-tilda for Fr\'echet spaces of global analytic functions on Stein manifolds. We show that O(M), for a Stein manifold M, enjoys the property {\Omega}-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. Comment: Dedicated to Mikhail Mikhaylovich Dragilev on the occasion of his 90 th birthday. To appear in Vladikavkaz Mathematical Journal (VMJ) |
| Databáze: | arXiv |
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