Vitali covering theorem in Hilbert space-Reference-Cited by-同舟云学术

Vitali covering theorem in Hilbert space

Published:2003-04-07 Issue:8 Volume:355 Page:3277-3289
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Tišer Jaroslav

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2003-355-08/S0002-9947-03-03296-3/S0002-9947-03-03296-3.pdf

Reference9 articles.

1. Notas de Matem\'{a}tica [Mathematical Notes];de Guzmán, Miguel,1981

2. Hayes, C.A. and Pauc, C.Y., Derivation and Martingales, Springer-Verlag, 1970

3. Lecture Notes in Mathematics, Vol. 463;Kuo, Hui Hsiung,1975

4. Gaussian measures and covering theorems;Preiss, D.;Comment. Math. Univ. Carolin.,1979

5. Gaussian measures and the density theorem;Preiss, D.;Comment. Math. Univ. Carolin.,1981

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