A Choquet theorem for general subspaces of vector-valued functions
1985 ◽
Vol 98
(2)
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pp. 323-326
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Keyword(s):
Let X be a compact Hausdorff space, let E be a (real or complex) Banach space, and let C(X, E) stand for the Banach space of all continuous E-valued functions defined on X under the supremum norm. If A is an arbitrary linear subspace of C(X, E), then it is shown that each bounded linear functional l on A can be represented by a boundary E*-valued vector measure μ on X that has the same norm as l. This result constitutes an extension to vector-valued functions of the so-called analytic version of Choquet's integral representation theorem.
1991 ◽
Vol 33
(2)
◽
pp. 223-230
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1985 ◽
Vol 97
(1)
◽
pp. 137-146
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Keyword(s):
1982 ◽
Vol 25
(2)
◽
pp. 164-168
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Keyword(s):
1983 ◽
Vol 6
(4)
◽
pp. 705-713
2001 ◽
Vol 64
(2)
◽
pp. 445-456
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1983 ◽
Vol 28
(2)
◽
pp. 175-186
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Keyword(s):
1990 ◽
Vol 32
(3)
◽
pp. 273-276
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1972 ◽
Vol 167
◽
pp. 263-263
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2011 ◽
Vol 84
(1)
◽
pp. 44-48
◽
1971 ◽
Vol 23
(3)
◽
pp. 468-480
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