On Moduli of Convexity in Banach Spaces

Quaestiones Mathematicae

Volumn 27, Issue 2, 2004, Pages 137-145

  Bárcenas, Diömedes ^a   Gurariy, Vladimir ^b   Sánchez, Luisa ^a   Ullén, Antonio ^c  

^a UNIVERSIDAD DE LOS ANDES   (Venezuela)

^b KENT STATE UNIVERSITY   (United States)

^c UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Modulus of convexity

Indexed keywords

EID: 7944221983     PISSN: 16073606     EISSN: 1727933X     Source Type: Journal    
DOI: 10.2989/16073600409486089     Document Type: Article

References (10)

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5. V.I. Gurariy, On moduli of convexity and flattening of Banach spaces, Soviet Math. Dokl. 161(5) (1965), 1003-1006. (English translation)
6. V.I. Gurariy, On differential properties of the convexity moduli of Banach spaces, Mat. Issled 2 (1967), 141-148. (Russian)
7. M.I. Kadets, Proof of the topological equivalence of all separable infinite-dimensional Banach spaces, Funct. Analysis and its Applications 1 (1967), 53-62.
8. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces II, Springer-Verlag, Berlin, Heidelberg, New York, 1979.
9. L. Sanchez and A. Ullan, Some properties of Gurarii modulus of convexity, Archiv der Math. 71 (1998), 399-406.
10. C. Zanco and A. Zucchi, Moduli of rotundity and smoothness for convex bodies, Boll. Un. Mat. Ital. Sezione B Ser. 7 7 (1993), 833-885.