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The Fixed Point Property in Banach Spaces with the NUS-Property

✍ Scribed by Jesús Garcı́a Falset

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
179 KB
Volume
215
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we show that the weak nearly uniform smooth Banach spaces have the fixed point property for nonexpansive mappings.

📜 SIMILAR VOLUMES

Spaces of Compact Operators on a Hilbert
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Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.

Neocompact Sets and the Fixed Point Prop
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We use a newly introduced concept of neocompactness to study problems from metric fixed point theory. In particular, we give a sufficient condition for a superreflexive Banach space X to have the fixed point property and obtain shorter proofs of some well-known results in that theory.  2002 Elsevie