On a theorem of Baire about lower semicontinuous functions

Authors

  • Costică Mustăţa Tiberiu Popoviciu Institute of Numerical Analysis, Romania

DOI:

https://doi.org/10.33993/jnaat371-877

Keywords:

quasi-metric space, semi-Lipschitz function, approximation
Abstract views: 277

Abstract

A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by increasing sequences of continuous functions is extended to the "nonsymmetric" case, i.e. for quasi-metric spaces.

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References

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Romaguera, S. and Sanchis, M., Properties of the normed cone of semi-Lipschitz functions. Acta Math. Hungar., 108, no. 1-2, pp. 55-70, 2005, https://doi.org/10.1007/s10474-005-0208-9 DOI: https://doi.org/10.1007/s10474-005-0208-9

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Published

2008-02-01

How to Cite

Mustăţa, C. (2008). On a theorem of Baire about lower semicontinuous functions. Rev. Anal. Numér. Théor. Approx., 37(1), 71–75. https://doi.org/10.33993/jnaat371-877

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