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Extremal structure of the set of absolute norms on and the von Neumann–Jordan constant

✍ Scribed by Naoto Komuro; Kichi-Suke Saito; Ken-Ichi Mitani

Book ID
108178688
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
174 KB
Volume
370
Category
Article
ISSN
0022-247X

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✍ E. Marques de Sá; Virgı´nia Santos 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 167 KB

Given finite dimensional real or complex Banach spaces, E and F, with norms ν : E → R and μ : F → R, we denote by N μν the least upper bound norm induced on L(E, F ). Some results are given on the extremal structures of B, the unit ball of N μν , of its polar B • , and of B , which is the polar of t