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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)

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
Subjects:UNSPECIFIED
ID Code:24063
Deposited By:Aydın Aytuna
Deposited On:20 Jun 2014 11:44
Last Modified:20 Jun 2014 11:44

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