Isomorphic and isometric copies of in duals of Banach spaces and Banach lattices
Marek Wójtowicz (2006)
Commentationes Mathematicae Universitatis Carolinae
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Let and be a Banach space and a real Banach lattice, respectively, and let denote an infinite set. We give concise proofs of the following results: (1) The dual space contains an isometric copy of iff contains an isometric copy of , and (2) contains a lattice-isometric copy of iff contains a lattice-isometric copy of .