Geodesic
Harmonic analysis in (UMD)-spaces: Applications to the theory of bases
Matematičeskie zametki, Tome 58 (1995) no. 6, pp. 890-905

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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. 
@article{MZM_1995_58_6_a8,
     author = {F. A. Sukochev and S. V. Ferleger},
     title = {Harmonic analysis in {(UMD)-spaces:} {Applications} to the theory of bases},
     journal = {Matemati\v{c}eskie zametki},
     pages = {890--905},
     publisher = {mathdoc},
     volume = {58},
     number = {6},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_6_a8/}
}
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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/