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On the structure of a certain class of mixed Tsirelson spaces. (English) Zbl 0988.46009
The author considers a mixed Tsirelson space arranged from a mixed Tsirelson spacial entries isomorphic to \(l_{p_k}\) with the sequence of \((p_k)\) descreasing stricltly to \(p\). By definition, this is a \(p\)-space. Among the properties of \(p\)–spaces the author inspects finite representability of T\(L_r\), the distortion problem, and complemented minimality.

MSC:
46B25 Classical Banach spaces in the general theory
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