Transactions of the American Mathematical Society

Author(s): Jaroslav Tiser
Journal: Trans. Amer. Math. Soc. 355 (2003), 3277-3289.
MSC (2000): Primary 28A50, 46G99
Posted: April 7, 2003
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 28A50, 46G99

Jaroslav Tiser
Affiliation: Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University, Technická 2, 166 27 Praha, Czech Republic
Email: tiser@math.feld.cvut.cz

DOI: 10.1090/S0002-9947-03-03296-3
PII: S 0002-9947(03)03296-3
Keywords: Vitali Covering Theorem, Gaussian measure, packing density
Received by editor(s): May 15, 2002
Received by editor(s) in revised form: January 24, 2003
Posted: April 7, 2003
Additional Notes: The author was supported by grants GA CR 201/98/1153 and J04/98/210000010
Copyright of article: Copyright 2003, American Mathematical Society

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