Complex strongly extreme points in quasi-normed spaces
Journal of Mathematical Analysis and Applications
We study the complex strongly extreme points of (bounded) subsets of continuously quasi-normed vector spaces X over ℂ. When X is a complex normed linear space, these points are the complex analogues of the familiar (real) strongly extreme points. We show that if X is a complex Banach space then the complex strongly extreme points of BX admit several equivalent formulations some of which are in terms of "pointwise" versions of well known moduli of complex convexity. We use this result to obtain a characterization of the complex extreme points of Blp(Xj)j ∈ I and BLp(μ, X) where 0 < p < ∞, X and each Xj, j ∈ I, are complex Banach spaces. © 1996 Academic Press, Inc.
Original Publication Date
DOI of published version
Hu, Zhibao and Mupasiri, Douglas, "Complex strongly extreme points in quasi-normed spaces" (1996). Faculty Publications. 4074.