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Some topological properties of vector measures and their integral maps: Errata

Part of: Set functions, measures and integrals with values in abstract spaces

Published online by Cambridge University Press:  09 April 2009

R. Anantharaman  and
K. M. Garg
R. Anantharaman
Affiliation:
S.U.N.Y., College at Old Westbury, New York 11568, U.S.A.
K. M. Garg
Affiliation:
The University of Alberta, Edmonton Alberta T6G 2H1, Canada
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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].

MSC classification

Secondary: 28B05: Vector-valued set functions, measures and integrals
Type
Errata
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 3 , December 1988 , pp. 371
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Anantharaman, R. and Gerg, K. M., ‘Some topological properties of vector measures and their integral maps”, J. Austral. Math. Soc. (Series A) 23 (1977), 453–466.CrossRefGoogle Scholar
[2]Amstrong, T. E., “Openness of finitely additive vector measures as mappings”, (1985, preprint).Google Scholar
[3]Karafiat, A., ‘On the continuity of a mapping inverse to a vector measure”, Prace Mat. 18 (1974), 37–43.Google Scholar
[4]Samet, D., ‘Vector measures are open maps”, Math. Oper. Research 9 (1984), 471–474.CrossRefGoogle Scholar