ArticleOriginal scientific text

Title

Isomorphism of certain weak Lp spaces

Authors 1

Affiliations

  1. Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 0511, Republic of Singapore

Abstract

It is shown that the weak Lp spaces p,,Lp,[0,1], and Lp,[0,) are isomorphic as Banach spaces.

Bibliography

  1. N. L. Carothers and S. J. Dilworth, Subspaces of Lp,q, Proc. Amer. Math. Soc. 104 (1988), 537-545.
  2. D. H. Leung, Lp, has a complemented subspace isomorphic to 2, Rocky Mountain J. Math. 22 (1992), 943-952.
  3. D. H. Leung, Embedding Lp, into Lp,[0,1] complementably, Bull. London Math. Soc. 23 (1991), 583-586.
  4. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I. Sequence Spaces, Springer, Berlin 1977.
  5. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces II. Function Spaces, Springer, Berlin 1979.
Pages:
151-160
Main language of publication
English
Received
1992-04-16
Published
1993
Exact and natural sciences