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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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[1] Liu, P., Huo, Y., On the geomery of complex Banach spaces, Advance Math., 1998, 27: 1.
[2] Globevnio, J., On complex strict and uniform convexity, Proc. Amer. Math. Soc., 1975, 47: 175. · doi:10.1090/S0002-9939-1975-0355564-9
[3] Wu, C., Sun, H., On the complex extreme point and complex strict rotundity of Musielak-Orlicz spaces, System Science and Math., 1987, 7: 7. · Zbl 0631.46031
[4] Wu, C., Sun, H., On the complex uniform rotundity of Musielak-Orlicz spaces, Northeast Math., 1988, 4: 389. · Zbl 0693.41037
[5] Wu, C., Sun, H., On the complex convexity of Orlicz-Musielak sequence spaces, Comment. Math., 1989, 29: 397. · Zbl 0728.46023
[6] Chen, S., Geometry of Orlicz spaces, Dissertations Math., 1996, 356: 1. · Zbl 1089.46500
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