C1-fine approximation of functions on banach spaces with unconditional basis

Quarterly Journal of Mathematics

Volumn 56, Issue 1, 2005, Pages 13-20

  Azagra, Daniel ^a   Gil, Javier Gómez ^a   Jaramillo, Jesús A ^a   Lovo, Mauricio ^a   Fry, Robb ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b ST FRANCIS XAVIER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24144431633     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qmath/hah020     Document Type: Article

References (11)

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4. R. Fry, Approximation in non-Asplund spaces, Rocky Mountain. J. Math, to appear.
5. R. Fry and S. McManus, Smooth bump functions and the geometry of banach spaces - a brief survey, Expositio. Math. 20 (2002), 143-183.
6. M. P. Heble, Approximation of differentiable functions on a Hubert space, C.R. Math. Rep. Acad. Sci. (Canad.) 5 (1983), 179-183.
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9. M. Leduc, Densité de certaines familles d'hyperplans tangents, C.R. Acad. Sci. (Paris) A 270 (1970), 326-328.
10. N. Moulis, Approximation de fonctions différentiables sur certains espaces de Banach, Ann. Inst. Fourier, Grenoble 21 (1971), 293-345.
11. H. Whitney, Analytic extensions of differential functions in closed sets, Trans. Amer. Math. Soc. 36 (1934), 63-89.