Operator Spaces Containing c 0 OR l
作者： J. Bonet , P. Domański , M. Lindström , M. S. Ramanujan
DOI: 10.1007/BF03322256
关键词: Combinatorics 、 Cover (topology) 、 Mathematics 、 Discrete mathematics 、 Operator (computer programming) 、 Basis (linear algebra)
摘要: Let E, F be either Frechet or complete DF-spaces and let A(E, F) ⊆ B(E, spaces of operators. Under some quite general assumptions we show that: (i) contains a copy c0 if only it l∞; (ii) F), then is complemented in = F); (iii) E has an unconditional basis ≠ L(E, ⊇ c0. The above results cover cases many clssical operator A. We also that EeF l∞ l∞.
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