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On sharp triangle inequalities in Banach spaces. II. (English) Zbl 1195.46021

Summary: Sharp triangle inequality and its reverse in Banach spaces were recently shown [the authors and T. Tamura, Part I, J. Math. Anal. Appl. 336, No. 2, 1178–1186 (2007; Zbl 1127.46015)]. In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces.

MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices

Citations:

Zbl 1127.46015
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References:

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