Smooth functions and partitions of unity on certain Banach spaces

Quarterly Journal of Mathematics

Volumn 47, Issue 188, 1996, Pages 455-468

  Haydon, Richard ^a  

^a BRASENOSE COLLEGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030298809     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmath/47.188.455     Document Type: Article

References (6)

1. R. Deville, V. Fonf and P. Hájek, 'Analytic approximation of norms in separable Banach spaces', preprint.
2. R. Deville, G. Godefroy and V. Zizler, Smoothness and renormings in Banach spaces, Longman, Harlow (1993).
3. P. Hájek, 'Smooth norms that depend locally on finitely many coordinates', Proc. Amer. Math. Soc. 123 (1995), 3817-3821.
4. R. G. Haydon, 'Normes infiniment différentiables sur certains espaces de Banach', C. R. Acad. Sci. Paris 315 (1992), 1175-1178.
5. R. G. Haydon, 'Trees in renorming theory', to appear in Proc. London Math. Soc.
6. H. Toruńczyk, 'Smooth partitions of unity on some nonseparable Banach spaces', Studia Math. 46 (1973), 43-51.