Some geometric constants of absolute normalized norms on [R.sup.2]

Some geometric constants of absolute normalized norms on [R.sup.2]

We consider the Banach space X = ([R.sup.2], [parallel]x[parallel]) with a normalized, absolute norm. Our aim in this paper is to calculate the modified Neumann-Jordan constant [C'.sub.NJ] (X) and the Zbaganu constant [C.sub.Z](X). Key words and phrases. Zbaganu constant, absolute norm, von Neu...

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Veröffentlicht in:Annals of functional analysis 2011-12, Vol.2 (2), p.22
Hauptverfasser: Mizuguchi, Hiroyasu, Saito, Kichi-suke
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the Banach space X = ([R.sup.2], [parallel]x[parallel]) with a normalized, absolute norm. Our aim in this paper is to calculate the modified Neumann-Jordan constant [C'.sub.NJ] (X) and the Zbaganu constant [C.sub.Z](X). Key words and phrases. Zbaganu constant, absolute norm, von Neumann-Jordan constant.
ISSN:2008-8752