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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Midconvex functions in locally compact groups


Authors: A. Chademan and F. Mirzapour
Journal: Proc. Amer. Math. Soc. 127 (1999), 2961-2968
MSC (1991): Primary 26A51; Secondary 22A10
Published electronically: June 17, 1999
MathSciNet review: 1610936
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Abstract | References | Similar Articles | Additional Information

Abstract: The theorems of Bernstein-Doetsch, and Ostrowski, concerning the continuity of midconvex functions are extended to open subsets of locally compact and root-approximable topological groups.


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Additional Information

A. Chademan
Affiliation: Department of Mathematics and Computer Science, Faculty of Science, University of Tehran, Tehran, Iran
Email: chademan@khayam.ut.ac.ir

F. Mirzapour
Affiliation: Department of Mathematics, University of Zanjan, Zanjan, Iran

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04907-2
PII: S 0002-9939(99)04907-2
Keywords: Midconvex functions, locally compact groups, Bernstein-Doetsch theorem, Jensen's theorem, Ostrowski's theorem
Received by editor(s): December 12, 1996
Received by editor(s) in revised form: January 1, 1998
Published electronically: June 17, 1999
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1999 American Mathematical Society