Vol. 104, No. 1, 1983

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Intersections of M-ideals and G-spaces

Åsvald Lima, G. H. Olsen and U. Uttersrud

Vol. 104 (1983), No. 1, 175–177
Abstract

A closed subspace N of a Banach space V is called an L-summand if there is a closed subspace Nof V such that V is the 11-direct sum of N and N. A closed subspace N of V is called an M-ideal if its annihilator N in V is an L-summand. Among the predual L1-spaces the G-spaces are characterized by the property that every point in the w-closure of the extreme points of the dual unit ball is a multiple of an extreme point. In this note we prove that if V is a separable predual L1-space such that the intersection of any family of M-ideals is an M-ideal, then V is a G-space.

Mathematical Subject Classification 2000
Primary: 46B20
Secondary: 46A55
Milestones
Received: 10 February 1981
Published: 1 January 1983
Authors
Åsvald Lima
G. H. Olsen
U. Uttersrud