Analytic and Ck approximations of norms in separable Banach spaces
Deville, Robert ; Fonf, Vladimir ; Hájek, Petr
Studia Mathematica, Tome 119 (1996), p. 61-74 / Harvested from The Polish Digital Mathematics Library
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:216321
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     author = {Robert Deville and Vladimir Fonf and Petr H\'ajek},
     title = {Analytic and $C^k$ approximations of norms in separable Banach spaces},
     journal = {Studia Mathematica},
     volume = {119},
     year = {1996},
     pages = {61-74},
     zbl = {0857.46008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv120i1p61bwm}
}
Deville, Robert; Fonf, Vladimir; Hájek, Petr. Analytic and $C^k$ approximations of norms in separable Banach spaces. Studia Mathematica, Tome 119 (1996) pp. 61-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv120i1p61bwm/

[00000] [D] R. Deville, Geometrical implications of the existence of very smooth bump functions in Banach spaces, Israel J. Math. 6 (1989), 1-22. | Zbl 0691.46009

[00001] [DFH] R. Deville, V. Fonf and P. Hájek, Analytic and polyhedral approximation of convex bodies in separable polyhedral Banach spaces, to appear. | Zbl 0920.46011

[00002] [DGZ] R. Deville, G. Godefroy and V. Zizler, Smoothness and Renormings in Banach Spaces, Pitman Monographs Surveys Pure Appl. Math. 64, Longman, 1993.

[00003] [Dieu] J. Dieudonné, Foundations of Modern Analysis, Academic Press, New York, 1960. | Zbl 0100.04201

[00004] [FFWZ] M. Fabian, D. Preiss, J. H. M. Whitfield and V. Zizler, Separating polynomials on Banach spaces, Quart. J. Math. Oxford Ser. (2) 40 (1989), 409-422. | Zbl 0715.46007

[00005] [Fe] H. Federer, Geometric Measure Theory, Springer, 1969.

[00006] [HH] P. Habala and P. Hájek, Stabilization of polynomials, C. R. Acad. Sci. Paris Sér. I 320 (1995), 821-825. | Zbl 0826.46037

[00007] [H1] R. Haydon, Normes infiniment différentiables sur certains espaces de Banach, ibid. 315 (1992), 1175-1178. | Zbl 0788.46008

[00008] [H2] R. Haydon, Smooth functions and partitions of unity on certain Banach spaces, to appear.

[00009] [Ku1] J. Kurzweil, On approximation in real Banach spaces, Studia Math. 14 (1954), 213-231.

[00010] [Ku2] J. Kurzweil, On approximation in real Banach spaces by analytic operations, ibid. 16 (1957), 124-129. | Zbl 0080.32602

[00011] [M] P. Mazet, Analytic Sets in Locally Convex Spaces, North-Holland Math. Stud. 89, North-Holland, 1984.

[00012] [N] L. Nachbin, Topology on Spaces of Holomorphic Mappings, Springer, 1969. | Zbl 0172.39902

[00013] [NS] A. M. Nemirovskiĭ and S. M. Semenov, On polynomial approximation of functions on Hilbert space, Mat. Sb. 92 (1973), 257-281 (in Russian). | Zbl 0286.41025

[00014] [Zp] M. Zippin, The separable extension problem, Israel J. Math. 26 (1977), 372-387. | Zbl 0347.46076