Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-28T08:11:41.263Z Has data issue: false hasContentIssue false
  • English
  • Français

OPERATORS ON SUBSPACES OF HEREDITARILY INDECOMPOSABLE BANACH SPACES

Published online by Cambridge University Press:  01 May 1997

V. FERENCZI
V. FERENCZI
Affiliation:
Equipe d'Analyse et de Mathématiques Appliquées, Université de Marne la Vallée, 2, rue de la Butte Verte, 93166 Noisy le Grand Cedex, France.
Get access

Abstract

We show that if X is a complex hereditarily indecomposable space, then every operator from a subspace Y of X to X is of the form λI+S, where I is the inclusion map and S is strictly singular.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 3 , May 1997 , pp. 338 - 344
Copyright
© The London Mathematical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)