Geodesic
Harmonic analysis in (UMD)-spaces: Applications to the theory of bases
Matematičeskie zametki, Tome 58 (1995) no. 6, pp. 890-905 
F. A. Sukochev; S. V. Ferleger. Harmonic analysis in (UMD)-spaces: Applications to the theory of bases. Matematičeskie zametki, Tome 58 (1995) no. 6, pp. 890-905. http://geodesic.mathdoc.fr/item/MZM_1995_58_6_a8/
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     title = {Harmonic analysis in {(UMD)-spaces:} {Applications} to the theory of bases},
     journal = {Matemati\v{c}eskie zametki},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, a general method for the construction of bases and unconditional finite-dimensional basis decompositions for spaces with the property of unconditional martingale differences is proposed. The construction makes use of a certain strongly continuous representation of Cantor's group in these spaces. The results are applied to vector function spaces and symmetric spaces of measurable operators associated with factors of type II.

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