A $v$-integral representation for the continuous linear operators on spaces of continuously differentiable vector-valued functions
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- by J. R. Edwards and S. G. Wayment
- Proc. Amer. Math. Soc. 30 (1971), 263-270
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281031-3
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Abstract:
Suppose X and Y are linear normed spaces, and ${C_1}$ is the space of continuously differentiable functions from [0, 1] into X. The authors give a represention theorem for the linear operators from ${C_1}$ into Y in terms of the v-integral operating on the function as opposed to the derivative of the function.References
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Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 263-270
- MSC: Primary 47.25; Secondary 28.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281031-3
- MathSciNet review: 0281031