Midconvex functions in locally compact groups
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- by A. Chademan and F. Mirzapour PDF
- Proc. Amer. Math. Soc. 127 (1999), 2961-2968 Request permission
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.References
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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
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2961-2968
- MSC (1991): Primary 26A51; Secondary 22A10
- DOI: https://doi.org/10.1090/S0002-9939-99-04907-2
- MathSciNet review: 1610936