BV has the bounded approximation property

We prove that the space BV (ℝn) of functions with bounded variation on ℝn has the bounded approximation property.

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Bibliographic Details
Published in:The Journal of geometric analysis 2005-01, Vol.15 (1), p.1-7
Main Authors: Alberti, G., Csörnyei, M., Pelczyński, A., Preiss, D.
Format: Article
Language:English
Subjects:
Approximation
Geometry
Mathematical analysis
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Description
Summary:We prove that the space BV (ℝn) of functions with bounded variation on ℝn has the bounded approximation property.
ISSN:1050-6926
1559-002X
DOI:10.1007/BF02921855