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A retract characterization of posets with the fixed-point property

✍ Scribed by Richard A Brualdi; J.A Dias da Silva

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
233 KB
Volume
169
Category
Article
ISSN
0012-365X

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✦ Synopsis

It has been an open problem to characterize posets P with the property that every order-preserving map on P has a fixed point. We give a characterization of such posets in terms of their retracts.

πŸ“œ SIMILAR VOLUMES

Spaces of Compact Operators on a Hilbert
Spaces of Compact Operators on a Hilbert Space with the Fixed Point Property
✍ Patrick N. Dowling; Narcisse Randrianantoanina πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 111 KB

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.