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Banach Spaces Of The Type Of Tsirelson

Spiros A. Argyros·Irene Deliyanni
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Abstract

To any pair ( M , theta ) where M is a family of finite subsets of N compact in the pointwise topology, and 0 {1/n} then T_M^theta is reflexive. Moreover, if the Cantor-Bendixson index of M is greater than omega then T_M^theta does not contain any l^p, while if the Cantor-Bendixson index of M is finite thenT_M^theta contains some l^p or c_o . In particular, if M ={ A subset N : |A| leq n } and {1/n}<theta <1 then T_M^theta is isomorphic to some l^p .

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Spiros A. Argyros, Irene Deliyanni. 1992-07-06. Banach Spaces Of The Type Of Tsirelson. https://arxiv.org/abs/math/9207206

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