Isometric Stability Property of Certain Banach Spaces
1995 ◽
Vol 38
(1)
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pp. 93-97
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AbstractLet E be one of the spaces C(K) and L1, F be an arbitrary Banach space, p > 1, and (X, σ) be a space with a finite measure. We prove that E is isometric to a subspace of the Lebesgue-Bochner space LP(X; F) only if E is isometric to a subspace of F. Moreover, every isometry T from E into Lp(X; F) has the form Te(x) = h(x)U(x)e, e ∊ E, where h: X —> R is a measurable function and, for every x ∊ X, U(x) is an isometry from E to F
1992 ◽
Vol 35
(1)
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pp. 56-60
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2012 ◽
Vol 2012
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pp. 1-28
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1979 ◽
Vol 22
(1)
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pp. 49-60
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2010 ◽
Vol 82
(1)
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pp. 10-17
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2006 ◽
Vol 49
(1)
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pp. 39-52
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