The Jordan decomposition of bounded variation functions valued in vector spaces
In this paper we show the Jordan decomposition for bounded variation functions withvalues in Riesz spaces. Through an equivalence relation, we prove that this decomposition is satisfiedfor functions valued in Hilbert spaces. This result is a generalization of the real case. Moreover, weprove that, i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2017-11-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/10.3934/Math.2017.4.635/fulltext.html |