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A 3-space problem related to the fixed point property

Published online by Cambridge University Press:  17 April 2009

Helga Fetter  and
Berta Gamboa de Buen
Helga Fetter
Affiliation:
CIMAT, Apdo. Postal 402, 36000 Guanajuato, Gto. México
Berta Gamboa de Buen
Affiliation:
CIMAT, Apdo. Postal 402, 36000 Guanajuato, Gto. México
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Abstract

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We study some properties which imply weak normal structure and thus the fixed point property. We investigate whether the latter two properties are inherited by spaces obtained by direct sum with a finite dimensional space. We exhibit a space X which satisfies Opial's condition, X ⊕ ℝ does not have weak normal structure but X ⊕ ℝ has the fixed point property.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 1 , August 2001 , pp. 51 - 61
Copyright
Copyright © Australian Mathematical Society 2001

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