The generalized Day norm. Part I. Properties

Monika Budzyńska, Aleksandra Grzesik, Mariola Kot

Abstract


In this paper we introduce a modification of the Day norm in \(c_0(\Gamma)\) and investigate properties  of this norm.

Keywords


Asymptotic normal structure; Day norm; local uniform convexity; normal structure; Opial property; strict convexity; uniform convexity in every direction

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References


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DOI: http://dx.doi.org/10.17951/a.2017.71.2.33
Date of publication: 2017-12-18 20:31:32
Date of submission: 2017-12-16 22:48:57


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Copyright (c) 2017 Monika Budzyńska, Aleksandra Grzesik, Mariola Kot