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OPERATORS ON C0(L,X) WHOSE RANGE DOES NOT CONTAIN c0
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 77 / Issue 3 / June 2008
- Published online by Cambridge University Press:
- 01 June 2008, pp. 515-520
- Print publication:
- June 2008
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- Article
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This paper contains two results: (a) if
is a Banach space and (L,τ) is a nonempty locally compact Hausdorff space without isolated points, then each linear operator T:C0(L,X)→C0(L,X) whose range does not contain an isomorphic copy of c00 satisfies the Daugavet equality 
; (b) if Γ is a nonempty set and X and Y are Banach spaces such that X is reflexive and Y does not contain c0 isomorphically, then any continuous linear operator T:c0(Γ,X)→Y is weakly compact.
is a Banach space and (
; (b) if Γ is a nonempty set and 