A Banach-lattice version of the Josefson-Nissenzweig theorem
نویسندگان
چکیده
منابع مشابه
New proofs of Rosenthal’s l–theorem and the Josefson–Nissenzweig theorem
We give elementary proofs of the theorems mentioned in the title. Our methods rely on a simple version of Ramsey theory and a martingale difference lemma. They also provide quantitative results: if a Banach space contains l only with a bad constant then every bounded sequence admits a subsequence which is “nearly” a weak Cauchy sequence.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2007
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(07)80036-x