On some convexities of Orlicz and Orlicz-Bochner spaces
Chen, S. ; Hudzik, Henryk
Commentationes Mathematicae Universitatis Carolinae, Tome 029 (1988), p. 13-29 / Harvested from Czech Digital Mathematics Library
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Publié le : 1988-01-01
Classification:  46E30,  46E40 
@article{106593,
     author = {S. Chen and Henryk Hudzik},
     title = {On some convexities of Orlicz and Orlicz-Bochner spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {029},
     year = {1988},
     pages = {13-29},
     zbl = {0647.46030},
     mrnumber = {937545},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106593}
}

Chen, S.; Hudzik, Henryk. On some convexities of Orlicz and Orlicz-Bochner spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 029 (1988) pp. 13-29. http://gdmltest.u-ga.fr/item/106593/

V. Akimovlč On uniformly convex and uniformly smooth Orlicz spaces, Teoria Funkcii Funk. Anal. i Eril. 15 (1970), 114-120 (in Russian). (1970)

W. L. Bynum Normal structure coefficient for Banach spaces, Pacific J. Math. 86 (1980), 427-436. (1980) | MR 0590555

A. A. Gillespie B. B. Williams Fixed point theorem for nonexpansive mappings on Banach spaces with uniformly normal structure, Appl. Anal. 9 (1979), 121-124. (1979) | MR 0539537

K. Goebel S. Reich Uniform convexity, hyperbolic metric and nonexpansive mappings, Marcel Dekker, New York, Basel (1984). (1984) | MR 0744194

R. Grzaálewicz H. Hudzik W. Orlicz Uniform non-$l_n^(1)$ property in some normed spaces, Bull. Acad. Polon. Sci. Math. 34 (1986), 161-171. (1986) | MR 0861173

H. Hudzik Uniformly $non_n^(1)$ Orlicz spaces, Studia Math. 81 (3) (1985), 271-284. (1985) | MR 0808569

H. Hudzik Convexity in Musielak-Orlicz spaces, Hokkaido Math. J. 14 (1) (1985), 85-96. (1985) | MR 0781829 | Zbl 0579.46023

H. Hudzik Locally uniformly non-$l_n^(1)$ Orlicz spaces, Rendiconti del Circolo Math, di Palermo, Proceedings of the Winter School on Abstract Analysis, Srní 1985. (1985)

H. Hudzik Flat Musielak-Orlicz spaces with Luxemburg's norm, Bull. Acad. Polon. Sci. Math. 32 (1984), 203-208. (1984) | MR 0771904

H. Hudzik A. Kaminska On uniformly convexifiable and B-convex Musielak-Orlicz spaces, Commentationes Math. 2 5 (1985), 59-75. (1985) | MR 0795121

R. C. James Uniformly non-square Banach spaces, Annals of Math. 80 (1964), 542-550. (1964) | MR 0173932 | Zbl 0132.08902

A. Kamińska On uniform convexity of Orlicz spaces, Todagationes Math. 80 (1964), 542-550. (1964)

A. Kamińska B. Turett Uniformly non-$l_n^(1)$ Orlicz-Bochner spaces, Bull. Acad. Polon. Sci. Math, to appear.

M. A. Krasnoselskii; Ya. B. Rutickii Convex functions and Orlicz spaces, (translation), Groningen 1961. (1961)

T. Landes Permanence properties of normal structure, Pacific J. Math. 110 (1) (1984), 125-144. (1984) | MR 0722744 | Zbl 0534.46015

W. A. J. Luxemburg Banach function spaces, Thesis, Delft 1955. (1955) | MR 0072440 | Zbl 0068.09204

H. W. Milnes Convexity of Orlicz spaces, Pacific J. Math. 7 (1957), 1451-1486. (1957) | MR 0107173 | Zbl 0078.28705

J. Musielak Orlicz spaces and modular spaces, Lecture Notes in Math. 1034 (1983). (1983) | MR 0724434 | Zbl 0557.46020

J. J. Schäffer Geometry of spheres in normed spaces, Lecture Notes in Math. 20 (1976). (1976) | MR 0467256

Chen Shutao Nonsquareness of Orlicz spaces, Chinese Anal. Math. 6 A (5) (1985), 619-624. (1985) | MR 0843901

K. Sundaresan On the strict and uniform convexity of certain Banach spaces, Pacific J. Math. 15 (1965), 1083-1086. (1965) | MR 0187067 | Zbl 0135.16302

Wang Yuwen; Chen Shutao Non-squareness, B-convexity and flatness of Orlicz spaces with Orlicz norm, Commentationes Math., to appear.