A Banach–Stone theorem for spaces of weak* continuous functions
1985 ◽
Vol 101
(3-4)
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pp. 203-206
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Keyword(s):
SynopsisIf X is a compact Hausdorff space and E a dual Banach space, let C(X, Eσ*) denote the Banach space of continuous functions F from X to E when the latter space is provided with its weak * topology, normed by . It is shown that if X and Y are extremally disconnected compact Hausdorff spaces and E is a uniformly convex Banach space, then the existence of an isometry between C(X, Eσ*) and C(Y, Eσ*) implies that X and Y are homeomorphic.
1968 ◽
Vol 32
◽
pp. 287-295
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1971 ◽
Vol 23
(3)
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pp. 468-480
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1969 ◽
Vol 16
(4)
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pp. 325-327
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Keyword(s):
2010 ◽
Vol 52
(3)
◽
pp. 435-445
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Keyword(s):
1989 ◽
Vol 31
(2)
◽
pp. 131-135
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2005 ◽
Vol 2005
(16)
◽
pp. 2533-2545
2019 ◽
Vol 2019
◽
pp. 1-7
2004 ◽
Vol 77
(1)
◽
pp. 17-28
1995 ◽
Vol 18
(4)
◽
pp. 701-704