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The Tsirelson space tau (p) has a unique unconditional basis up to permutation for 0 < p < 1
(Hindawi Publishing Corporation, 2009)
Artículo / Artikulua,
We show that the p-convexified Tsirelson space tau((p)) for 0 < p < 1 and all its complemented subspaces with unconditional basis have unique unconditional basis up to permutation. The techniques involved in the proof are ...
On perfectly homogeneous bases in quasi-Banach spaces
(Hindawi Publishing Corporation, 2009)
Artículo / Artikulua,
For 0 < p < infinity the unit vector basis of l(p) has the property of perfect homogeneity: it is equivalent to all its normalized block basic sequences, that is, perfectly homogeneous bases are a special case of symmetric ...
Semicontinuous planar total preorders on non-separable metric spaces
(The Korean Mathematical Society, 2009)
info:eu-repo/semantics/article,
We prove that every non-separable connected metric space
can be endowed with a total preorder that is order-isomorphic to a nonrepresentable
subset of the lexicographic plane and semicontinuous with
respect to the metric topology.