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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.
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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

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