Isomorphic and isometric copies of l∞(Γ) in duals of Banach spaces and Banach lattices
نویسنده
چکیده
Let X and E be a Banach space and a real Banach lattice, respectively, and let Γ denote an infinite set. We give concise proofs of the following results: (1) The dual space X contains an isometric copy of c0 iff X contains an isometric copy of l∞, and (2) E contains a lattice-isometric copy of c0(Γ) iff E contains a lattice-isometric copy of l∞(Γ).
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