Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Ana M. Cabrera-Serrano"'
Publikováno v:
Revista Matemática Complutense. 30:417-426
A Banach space X is said to be “nice” if every extreme operator from any Banach space into X is a nice operator (that is, its adjoint preserves extreme points). We prove that a nice \(L_1\)-predual space is isometrically isomorphic to \(c_0(I)\)
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 40:1613-1621
G-spaces are a class of L1-preduals introduced by Grothendieck. We prove that if every extreme operator from any Banach space into a G-space, X, is a nice operator (that is, its adjoint preserves extreme points), then X is isometrically isomor- phic
Publikováno v:
Journal of Mathematical Analysis and Applications. 427:899-904
Let K be a simplex and let A 0 ( K ) denote the space of continuous affine functions on K vanishing at a fixed extreme point, denoted by 0. We prove that if any extreme operator T from a Banach space X to A 0 ( K ) is a nice operator (that is, T ⁎