Complex Lindenstrauss Spaces with Extreme Points

On the Extreme Points and Strongly Extreme Points in Köthe–bochner Spaces

We give the necessary conditions of extreme points and strongly extreme points in the unit ball of Köthe–Bochner spaces. The conditions have been shown to be sufficient earlier.

Local Transformations with Fixed Points on Complex Spaces with Singularities.

with coefficients which are analytic in S. This defines for us a topological space which will be denoted by U. If R is any subset of S then U(R) will denote those points of U whose base points are in R. Now there is a function D(z) analytic and not identically zero in S such that for E denoting the points of S where D vanishes the subset U(E) are possible singularities on U. However, U U(E) = U...

Extreme Points and Rotundity of Orlicz-sobolev Spaces

Extreme and Exposed Points of Spaces of Integral Polynomials

We show that if E is a real Banach space such that E′ has the approximation property and such that `1 6↪→ ⊗̂ n,s, E then the set of extreme points of the unit ball of PI(E) is equal to {±φn : φ ∈ E′, ‖φ‖ = 1}. Under the additional assumption that E′ has a countable norming set we see that the set of exposed points of the unit ball of PI(E) is also equal to {±φn : φ ∈ E′, ‖φ‖ = 1}.

Extreme points of the unit cell Lebesgue-Bochner function spaces