A $v$-integral representation for linear operators on a space of continuous vector-valued functions
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- by J. R. Edwards and S. G. Wayment
- Proc. Amer. Math. Soc. 30 (1971), 260-262
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281030-1
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Abstract:
In this note an analytic representation is given for continuous linear operators from $C(X)$ into a linear normed space Y where $C(X)$ is the space of continuous functions on [0, 1] with values in a linear normed space X.References
- J. R. Edwards and S. G. Wayment, Representations for transformations continuous in the $\textrm {BV}$ norm, Trans. Amer. Math. Soc. 154 (1971), 251–265. MR 274704, DOI 10.1090/S0002-9947-1971-0274704-4
- Don H. Tucker, A note on the Riesz representation theorem, Proc. Amer. Math. Soc. 14 (1963), 354–358. MR 145334, DOI 10.1090/S0002-9939-1963-0145334-0
- Don H. Tucker, A representation theorem for a continuous linear transformation on a space of continuous functions, Proc. Amer. Math. Soc. 16 (1965), 946–953. MR 199722, DOI 10.1090/S0002-9939-1965-0199722-9
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 260-262
- MSC: Primary 47.25; Secondary 28.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281030-1
- MathSciNet review: 0281030