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q-Besselian Frames in Banach Spaces

✍ Scribed by Yu Can Zhu

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
213 KB
Volume
23
Category
Article
ISSN
1439-7617

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## Abstract Let __X__(ΞΌ) be a Banach function space. In this paper we introduce two new geometric notions, __q__‐convexity and weak __q__‐convexity associated to a subset __S__ of the unit ball of the dual of __X__(ΞΌ), 1 ≀ __q__ < ∞. We prove that in the general case both notions are not equivalent