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On a conjecture of Lindenstrauss and Perles in at most 6 dimensions

Published online by Cambridge University Press:  18 May 2009

D. G. Larman
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In [1] J. Lindenstrauss and M. A. Perles studied the extreme points of the set of all linear operators T of norm ≤ 1 from a finite dimensional Banach space X into itself. In particular they studied the question “When do these extreme points form a semigroup?”.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 1 , January 1978 , pp. 87 - 97
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

References

REFERENCE

1. Lindenstrauss, J. and Perles, M. A., On extreme operators in finite dimensional spaces, Duke Math. J. 36 (1969), 301–314.CrossRefGoogle Scholar