Complex convexity in Lebesgue-Bochner function spaces
Analytic denting points, Complex extreme points, Complex strongly extreme points, Quasi-normed spaces
Transactions of the American Mathematical Society
Complex geometric properties of continuously quasi-normed spaces are introduced and their relationship to their analogues in real Danach spaces is discussed. It is shown that these properties lift from a continuously quasi-normed space X to Lp(μ, X), for 0 < p < ∞. Local versions of these properties and results are also considered. © 1996 American Mathematical Society.
Original Publication Date
DOI of published version
Dowling, Patrick N.; Hu, Zhibao; and Mupasiri, Douglas, "Complex convexity in Lebesgue-Bochner function spaces" (1996). Faculty Publications. 4143.