In this paper,we give a number of characterizations for a Banach space X which is isometric to a subspace of c_(0),or,c_(0)(Г),successively,in terms of extreme points of its dual unit ball Bx*,Frechet and Gateaux der...In this paper,we give a number of characterizations for a Banach space X which is isometric to a subspace of c_(0),or,c_(0)(Г),successively,in terms of extreme points of its dual unit ball Bx*,Frechet and Gateaux derivatives of its norm,or,in terms ofω^(*)-strongly exposed points andω^(*)-exposed points of Bx*.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.11731010)。
文摘In this paper,we give a number of characterizations for a Banach space X which is isometric to a subspace of c_(0),or,c_(0)(Г),successively,in terms of extreme points of its dual unit ball Bx*,Frechet and Gateaux derivatives of its norm,or,in terms ofω^(*)-strongly exposed points andω^(*)-exposed points of Bx*.
