We show that the -convexified Tsirelson space for and all its complemented subspaces with unconditional basis have unique unconditional basis up to permutation. The techniquesinvolved in the proof are different from the methods that have been used in all the other uniqueness results in the nonlocally convex setting.
"The Tsirelson Space Has a Unique Unconditional Basis up to Permutation for ." Abstr. Appl. Anal. 2009 1 - 6, 2009. https://doi.org/10.1155/2009/780287