Spaces not containing ℓ1 have weak approximate fixed point property

Journal of Mathematical Analysis and Applications

Volumn 373, Issue 1, 2011, Pages 134-137

  Kalenda, Ondřej F K ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

1 sequence; Fr chet Urysohn space; Weak approximate fixed point property

Indexed keywords

EID: 77956186299     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2010.06.052     Document Type: Article

References (7)

1. Barroso C.S. The approximate fixed point property in Hausdorff topological vector spaces and applications. Discrete Contin. Dyn. Syst. 2009, 25(2):467-479.
2. Barroso C.S., Lin P.-K. On the weak-approximate fixed point property. J. Math. Anal. Appl. 2010, 365:171-175.
3. Bourgain J., Fremlin D.H., Talagrand M. Pointwise compact sets of Baire measurable functions. Amer. J. Math. 1978, 100:845-886.
4. Habala P., Hájek P., Zizler V. Introduction to Banach Spaces I, II 1996, Matfyzpress, Prague.
5. Lin P.-K., Sternfeld Y. Convex sets with the Lipschitz fixed point property are compact. Proc. Amer. Math. Soc. 1985, 93:633-639.
6. 1. Israel J. Math. 1975, 20(3-4):375-384.
7. 1. Proc. Natl. Acad. Sci. USA 1974, 71(6):2411-2413.