Integral Representation by Boundary Vector Measures
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 164-168
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In this paper we show that if X is a compact Hausdorff space, A is an arbitrary linear subspace of C(X, C), and if E is a Banach space, then each element L of (A ⊗ E)* can be represented by a boundary E*-valued vector measure of the same norm as L.
Saab, Paulette. Integral Representation by Boundary Vector Measures. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 164-168. doi: 10.4153/CMB-1982-022-4
@article{10_4153_CMB_1982_022_4,
author = {Saab, Paulette},
title = {Integral {Representation} by {Boundary} {Vector} {Measures}},
journal = {Canadian mathematical bulletin},
pages = {164--168},
year = {1982},
volume = {25},
number = {2},
doi = {10.4153/CMB-1982-022-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-022-4/}
}
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