Hostname: page-component-cb9f654ff-d5ftd Total loading time: 0 Render date: 2025-08-25T01:53:50.439Z Has data issue: false hasContentIssue false
  • English
  • Français

Isomorphisms in Subspaces of c0

Published online by Cambridge University Press:  20 November 2018

Robert H. Lohman
Robert H. Lohman*
Affiliation:
Kent State University, Kent, Ohio
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A Banach space X is said to be subspace homogeneous if for every two isomorphic closed subspaces Y and Z of X, both of infinite codimension, there is an automorphism of X (i.e. a bounded linear bijection of X) which carries Y onto Z. In [1] Lindenstrauss and Rosenthal showed that c0 is subspace homogeneous, a property also shared by l 2, and conjectured that c0 and l 2 are the only subspace homogeneous Banach spaces. In that paper no mention was made of subspaces of c0 .

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 571 - 572
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Lindenstrauss, J. and Rosenthal, H. P., Automorphisms in c0, l1 and m, Israel J. Math. 7 (1969), 227-239.Google Scholar
2. Pełczynski, A., Projections in certain Banach spaces, Studia Math. 19 (1960), 209-228.Google Scholar