Pacific Journal of Mathematics

Monotone bases in $L_{p}$.

L. E. Dor and E. Odell

Article information

Source
Pacific J. Math., Volume 60, Number 2 (1975), 51-61.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102868433

Mathematical Reviews number (MathSciNet)
MR0399832

Zentralblatt MATH identifier
0323.46019

Subjects
Primary: 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Citation

Dor, L. E.; Odell, E. Monotone bases in $L_{p}$. Pacific J. Math. 60 (1975), no. 2, 51--61. https://projecteuclid.org/euclid.pjm/1102868433


Export citation

References

  • [1] T. Ando, Contractive projections in Lp spaces, Pacific J. Math., 17 (1966), 391-405.
  • [2] D. L. Burkholder, Martingale transforms, Ann. Math. Stat., 37 (1966), 1494-1504.
  • [3] H. B. Cohen, F. E. Sullivan, Projections onto cycles in smooth reflexive Banach spaces, Pacific J. Math., 34 (1970), 355-364.
  • [4] R. G. Douglas, Contractive projections on an Lx space, Pacific J. Math., 15 (1965), 443-462.
  • [5] J. Hennefeld, On nonequivalent normalized unconditional bases for Banach spaces, Proc. Amer. Math. Soc, 41 (1973), 156-158.
  • [6] W. B. Johnson, E. Odell, Subspaces ofLp which imbed into lp, Composito Math., 28 (1974), 37-49.
  • [7] M.. Kadec, A. Pejczyski. Bases, lacunary sequences and complemented subspaces in thespaces Lp, Studia Math., 21 (1962), 161-176.
  • [8] Knopp, Theory and applications of infinite series, Glasgow 1966.
  • [9] H. E. Lacey, The Isometric Theory of Classical Banach Spaces, Springer Verlag, 1974.
  • [10] A. Pejczyski, H. P. Rosenthal, Localization techniques in Lp spaces, to appear.
  • [11] L. Tzafriri, Remarks on contractive projections in Lp-spaces, Israel J. Math., 7 (1969), 9-15.
  • [12] A. Zygmund, Trigonometric series, Cambridge 1968.