Hilbert spaces have the Banach-Stone property for Bochner spaces
1983 ◽
Vol 27
(1)
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pp. 121-128
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Keyword(s):
Let (ωi, σi, μi.) be two positive finite measure spaces, V a non-zero Hilbert space, and 1 ≤ p < ∞, p # 2. In this article it is shown that each surjective linear isometry between the Bochner spaces induces a Boolean isomorphism between the measure algebras , thus generalizing a result of Cambern's for separable Hilbert spaces.This Banach–Stone type theorem is achieved via a description of the Lp-structure of .
1976 ◽
Vol 28
(6)
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pp. 1180-1186
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Keyword(s):
Keyword(s):
2019 ◽
Vol 35
(9)
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pp. 1511-1519
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2005 ◽
Vol 71
(1)
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pp. 107-111
Keyword(s):
Keyword(s):
2008 ◽
Vol 60
(5)
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pp. 1001-1009
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