an:01417301
Zbl 0952.46011
Wang, Tingfu; Teng, Yanmei; Bian, Shurong
On the complex locally uniform rotundity of Musielak-Orlicz sequence spaces
EN
Bull. Pol. Acad. Sci., Math. 47, No. 4, 303-311 (1999).
00061201
1999
j
46B20 46E30
complex locally uniform rotundity; complex locally uniformly rotund point; Musielak-Orlicz sequence space; vector-valued Musielak-Orlicz sequence spaces
For complex Banach spaces, the notion of a complex extreme point was introduced by \textit{E. Thorp} and \textit{R. Whitley} [Proc. Am. Math. Soc. 18, 640-647 (1967; Zbl 0185.20102)], and then \textit{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.
Daniel Li (Lens)
Zbl 0185.20102; Zbl 0307.46015