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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
##### Keywords:
mixed Tsirelson space; finite block representability
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