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Matematicheskie Zametki, 1995, Volume 58, Issue 6, Pages 890–905 (Mi mzm2108)  
This article is cited in 4 scientific papers (total in 4 papers)

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

F. A. Sukochev, S. V. Ferleger

V. I. Lenin Tashkent State University
Full-text PDF (1250 kB) Citations (4)
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Abstract: 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.
Received: 24.01.1994
English version:
Mathematical Notes, 1995, Volume 58, Issue 6, Pages 1315–1326
DOI: https://doi.org/10.1007/BF02304891
Bibliographic databases:
Language: Russian
Citation: F. A. Sukochev, S. V. Ferleger, “Harmonic analysis in (UMD)-spaces: Applications to the theory of bases”, Mat. Zametki, 58:6 (1995), 890–905; Math. Notes, 58:6 (1995), 1315–1326
Citation in format AMSBIB
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\pages 890--905
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\transl
\jour Math. Notes
\yr 1995
\vol 58
\issue 6
\pages 1315--1326
\crossref{https://doi.org/10.1007/BF02304891}
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  • https://www.mathnet.ru/eng/mzm2108
  • https://www.mathnet.ru/eng/mzm/v58/i6/p890
    • This publication is cited in the following 4 articles:
    1. Jinghao Huang, Marat Pliev, Fedor Sukochev, “On Narrow Operators from $L_p$ into Operator Ideals”, Mediterr. J. Math., 19:5 (2022)  crossref
    2. Jinghao Huang, Fedor Sukochev, Dmitriy Zanin, “Optimal estimates for martingale transforms”, Journal of Functional Analysis, 282:11 (2022), 109451  crossref
    3. M. Caspers, D. Potapov, F. Sukochev, “The Walsh basis in theLp-spaces of hyperfiniteIIIλfactors,0<λ≤1”, Journal of Mathematical Analysis and Applications, 408:1 (2013), 154  crossref
    4. P. G. Dodds, S. V. Ferleger, B. de Pagter, F. A. Sukochev, “Vilenkin systems and generalized triangular truncation operator”, Integr equ oper theory, 40:4 (2001), 403  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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