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* (''X'', || ||) is a [[strictly convex space]] (i.e., the boundary of the unit ball ''B'' contains no line segments) if and only if ''δ''(2) = 1.
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{{reflist}}
==References==
* {{cite book|author=Beauzamy, Bernard|title=Introduction to Banach Spaces and their Geometry|year=1985 [1982]|edition=Second revised|publisher=North-Holland|mr=889253|isbn=0-444-86416-4}}
* {{cite journal
| last = Clarkson
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| jstor = 1989630
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* {{cite journal
| last = Day
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| jstor = 1969275
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* Fuster, Enrique Llorens. Some moduli and constants related to metric fixed point theory. ''Handbook of metric fixed point theory'', 133-175, Kluwer Acad. Publ., Dordrecht, 2001. {{MR|1904276}}
* [[Joram Lindenstrauss|Lindenstrauss, Joram]] and Benyamini, Yoav. ''Geometric nonlinear functional analysis'' Colloquium publications, 48. American Mathematical Society.
*{{citation
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* [[Vitali Milman|Vitali D. Milman]]. Geometric theory of Banach spaces II. Geometry of the unit sphere. ''Uspechi Mat. Nauk,'' vol. 26, no. 6, 73-149, 1971; ''Russian Math. Surveys'', v. 26 6, 80-159.
* {{cite journal | last=Pisier |first=Gilles |authorlink=Gilles Pisier | title= Martingales with values in uniformly convex spaces | journal=Israel J. Math. | volume=20 | year=1975 | issue=3–4 | pages=326–350 | doi = 10.1007/BF02760337 | url=http://www.springerlink.com/content/pwh1126545520581/ | mr=394135}}
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