Geodesic
On uniformly nonsquare points and nonsquare points of Orlicz spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 477-484 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
Classification : 46B20, 46B25, 46B30, 46B40, 46B42, 46E30
Keywords: Orlicz space; uniformly nonsquare point; nonsquare point 
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Wang, Tingfu; Shi, Zhongrui; Li, Yanhong. On uniformly nonsquare points and nonsquare points of Orlicz spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 477-484. http://geodesic.mathdoc.fr/item/CMUC_1992_33_3_a9/

[1] James R.C.: Uniformly nonsquare Banach spaces. Ann. Math. 80:3 (1964), 542-550. | MR

[2] Schäffer J.J.: Geometry of Sphere in Normed Spaces. Lect. Not. Pure Appl. Math. 20 (1976). | MR

[3] Wu C., Wang T., Chen S., Wang Y.: Geometry of Orlicz spaces. Printing House H.I.T., Harbin, 1986.

[4] Chen S., Wang Y.: On the definition of nonsquareness in normed spaces. China Ann. Math. 9A , 3 (1988), 330-334. | MR

[5] Chen S.: Nonsquareness of Orlicz spaces. ibid. 6A , 5 (1985), 607-613. | MR

[6] Wang Y., Chen S.: Nonsquareness, B-convexity and flatness of Orlicz spaces with Orlicz norm. Prace Mat. 28 (1988), 155-165. | MR

[7] Hudzik H.: Uniformly non-$1_n^{(1)}$ Orlicz spaces with Luxemburg norm. Studia Math. 81 , 3 (1985), 271-284. | MR

[6] Hudzik H.: Locally Uniformly Non-$1_n^{(1)}$ Orlicz Spaces. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II-numero 10 (1985), 49-56. | MR