Gaussian Measure on a Banach Space and Abstract Winer Measure
In this paper, we shall show that any Gaussian measure on a separable or reflexive Banach space is an abstract Wiener measure in the sense of L. Gross [1] and, for the proof of that, establish the Radon extensibility of a Gaussian measure on such a Banach space. In addition, we shall give some remarks on the support of an abstract Wiener measure.
1972 ◽
Vol 46
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pp. 155-160
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2015 ◽
Vol 12
(07)
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pp. 1550072
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2005 ◽
Vol 133
(07)
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pp. 2045-2050
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1975 ◽
Vol 19
(4)
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pp. 758-787
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1989 ◽
Vol 32
(2)
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pp. 169-191
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1978 ◽
pp. 319-328
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