# 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}
}
• Published 1995
• Mathematics
• Mathematical Notes
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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