2001/03/01 by Julio Bernues, Bernues, Julio, Javier Pascual +1
Mathematics · #46B03 #46B20 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B03 #msc:46B20
paper · pdf · doi:10.48550/arxiv.math/0103003
13 pages. To be published in Czech. Math. Jour
arxiv created 2001/03/01 · arxiv updated 2009/11/30
We give criteria of total incomparability for certain classes of mixed Tsirelson spaces. We show that spaces of the form T[(Mk,θk)k=1ℓ] with index i(Mk) finite are either c0 or ℓp saturated for some p and we characterize when any two spaces of such a form are totally incomparable in terms of the index i(Mk) and the parameter θk. Also, we give sufficient conditions of total incomparability for a particular class of spaces of the form T[(Ak,θk)k=1^∞] in terms of the asymptotic behaviour of the sequence \Vert∑i=1n ei\Vert where (ei) is the canonical basis.