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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Banach spaces with the $ 4.3.$ intersection property


Author: Ȧsvald Lima
Journal: Proc. Amer. Math. Soc. 80 (1980), 431-434
MSC: Primary 46B05; Secondary 52A35
MathSciNet review: 580998
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Abstract: We show that a finite-dimensional Banach space has the 4.3. intersection property if and only if it is isometric to an $ {l_\infty }$-sum of one- and two-dimensional spaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0580998-9
PII: S 0002-9939(1980)0580998-9
Keywords: n. k. intersection property, L-summands
Article copyright: © Copyright 1980 American Mathematical Society