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Complex locally uniform rotundity of Musielak-Orlicz spaces. (English) Zbl 1048.46031
Summary: The concepts of complex locally uniform rotundity and complex locally uniformly rotund point are introduced. Sufficient and necessary conditions for these properties are given in complex Musielak-Orlicz spaces.

MSC:
 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46B20 Geometry and structure of normed linear spaces
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References:
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