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A remarkable rearrangement of the Haar system in
Author(s):
Paul
F. X.
Müller;
Gideon
Schechtman
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2363-2371.
MSC (1991):
Primary 46B07, 60G42
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Abstract:
We introduce a non-standard but, to our opinion natural, order on the initial segments of the Haar system and investigate the isomorphic classification of the linear span, in , of block bases, with respect to this order.
References:
- [B]
- D.L. Burkholder, Distribution function inequalities for martingales, Ann. Prob. 1 (1973), 19-43. MR 51:1944
- [DS]
- L.E. Dor and T. Starbird, Projections of
onto subspaces spanned by independent random variables, Compositio Math. 39 (1979), 141-175. MR 82e:46043 - [F]
- C.L. Fefferman, The uncertainty principle, Bull. AMS 9 (1983), 129-206. MR 85f:35001
- [JMST]
- W.B. Johnson, B. Maurey, G. Schechtman, and L. Tzafriri, Symmetric structures in Banach spaces, Mem. AMS 217 (1979). MR 82j:46025
- [M]
- P.F.X. Müller, A local version of a result of Gamlen-Gaudet, Israel J. Math. 63 (1988), 212-222. MR 89m:46016
- [S]
- E.M. Semenov, On the equivalence in
of rearrangements of the Haar system, English translation in Soviet Math. Dokl. 19 (1978), 1292-1294.
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Additional Information:
Paul
F. X.
Müller
Affiliation:
Institut für Mathematik, J. Kepler Universität, 4040 Linz, Austria
Address at time of publication:
Department of Mathematics, Yale University, 10 Hill House Avenue, New Haven, Connecticut 06520
Email:
paul.mueller@jk.uni-linz.ac.at, muller@math.yale.edu
Gideon
Schechtman
Affiliation:
Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel
Email:
mtschech@weizmann.weizmann.ac.il
DOI:
10.1090/S0002-9939-97-03860-4
PII:
S 0002-9939(97)03860-4
Received by editor(s):
September 5, 1995
Received by editor(s) in revised form:
February 23, 1996
Additional Notes:
The first author was supported by the Austrian Academy of Sciences (APART Program). \endgraf The second author was supported in part by BSF. \endgraf Both authors participated in the Workshop in Linear Analysis and Probability, Texas A&M University.
Communicated by:
Dale Alspach
Copyright of article:
Copyright
1997,
American Mathematical Society
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