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A note on three-space Banach space ideals. (English) Zbl 0574.47029

Let E be a minimal Banach space in the sense that every infinite dimensional subspace contains in turn a copy of E, and let NE be the class of all Banach spaces containing no copy of E. In this note we show that NE is a three-space injective ideal; in particular, NX is such an ideal where X is either \(c_ 0\) or \(\ell_ p\) \((1\leq p<\infty)\) or the Tsirelson space.

MSC:

47L10 Algebras of operators on Banach spaces and other topological linear spaces
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References:

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