Harmonic analysis in (UMD)-spaces: Applications to the theory of bases

@article{Sukochev1995HarmonicAI,
  title={Harmonic analysis in (UMD)-spaces: Applications to the theory of bases},
  author={F. Sukochev and S. Ferleger},
  journal={Mathematical Notes},
  year={1995},
  volume={58},
  pages={1315-1326}
}
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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