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On the complex locally uniform rotundity of Musielak-Orlicz sequence spaces. (English) Zbl 0952.46011
For complex Banach spaces, the notion of a complex extreme point was introduced by E. Thorp and R. Whitley [Proc. Am. Math. Soc. 18, 640-647 (1967; Zbl 0185.20102)], and then J. Globevnik [Proc. Am. Math. Soc. 47, 175-178 (1975; Zbl 0307.46015)] defined complex uniform rotundity.
In this paper, the authors introduce the notion of complex locally uniformly rotund point and give a characterization, in vector-valued Musielak-Orlicz sequence spaces, of such points.
Reviewer: Daniel Li (Lens)

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