Some topological properties of vector measures and their integral maps: Errata
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Published:1988-12
Issue:3
Volume:45
Page:371-371
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ISSN:0263-6115
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Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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language:en
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Short-container-title:J Aust Math Soc A
Author:
Anantharaman R.,Garg K. M.
Abstract
It was kindly pointed out to the authors by Z. Lipecki and A. Spakowski that the proofs of Theorem 2.3 and Proposition 3.8 of [1] are incomplete; the gaps are on lines 15–14 from the bottom of page 457 and line 2 from the bottom of page 463 respectively. The openness of a non atomic measure in finite dimensions has also been treated in [2], [3], and [4]. A complete proof may be found in [2].
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference4 articles.
1. On the continuity of a mapping inverse to a vector measure;Karafiat;Prace Mat.,1974
2. [2] Amstrong T. E. , “Openness of finitely additive vector measures as mappings”, (1985, preprint).
3. Some topological properties of vector measures and their integral maps
4. Vector Measures Are Open Maps