Representation of linear functionals on quasi-continuous functions
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- by James D. Baker PDF
- Proc. Amer. Math. Soc. 48 (1975), 120-124 Request permission
Abstract:
The question of representing the continuous linear functionals on the complex quasi-continuous functions in terms of a single integral of Stieltjes type is considered. An integral on three functions is defined, is shown to provide a unique representation of the functionals, and in special cases, is shown to reduce to standard Stieltjes integrals involving two functions.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 120-124
- MSC: Primary 46E15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0374884-5
- MathSciNet review: 0374884