Regularization of cylindrical processes in locally convex spaces
2020 ◽
pp. 2050027
Keyword(s):
Let [Formula: see text] be a locally convex space and let [Formula: see text] denote its strong dual. In this paper, we introduce sufficient conditions for the existence of a continuous or a càdlàg [Formula: see text]-valued version to a cylindrical process defined on [Formula: see text]. Our result generalizes many other known results on the literature and their different connections will be discussed. As an application, we provide sufficient conditions for the existence of a [Formula: see text]-valued càdlàg Lévy process version to a given cylindrical Lévy process in [Formula: see text].
1980 ◽
Vol 88
(2)
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pp. 331-337
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2002 ◽
Vol 15
(2)
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pp. 91-103
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1967 ◽
Vol 15
(4)
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pp. 295-296
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1985 ◽
Vol 31
(3)
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pp. 451-462
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1983 ◽
Vol 27
(2)
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pp. 269-283
2014 ◽
Vol 57
(4)
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pp. 803-809
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2010 ◽
Vol 47
(3)
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pp. 299-310
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1971 ◽
Vol 70
(3)
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pp. 399-400
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