Vitali covering theorem in Hilbert space

Tišer, Jaroslav

doi:10.1090/S0002-9947-03-03296-3

Vitali covering theorem in Hilbert space
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Trans. Amer. Math. Soc. 355 (2003), 3277-3289 Request permission

Abstract:

It is shown that the statement of the Vitali Covering Theorem does not hold for a certain class of measures in a Hilbert space. This class contains all infinite-dimensional Gaussian measures.

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