TY - JOUR
T1 - Multi-smooth points of finite order
AU - Khalil, R.
AU - Saleh, A.
PY - 2005
Y1 - 2005
N2 - A point x of the unit sphere S(X) of the Banach space X is called a multi-smooth point of order n if there exist exactly n-independent continuous linear functionals g1,⋯, gn, in S(X*), the unit sphere of the dual of X, such that gi(x) = 1, for 1 ≤ i ≤ n. The object of this paper is to characterize multi-smooth points of some function and operator spaces.
AB - A point x of the unit sphere S(X) of the Banach space X is called a multi-smooth point of order n if there exist exactly n-independent continuous linear functionals g1,⋯, gn, in S(X*), the unit sphere of the dual of X, such that gi(x) = 1, for 1 ≤ i ≤ n. The object of this paper is to characterize multi-smooth points of some function and operator spaces.
UR - http://www.scopus.com/inward/record.url?scp=19944412515&partnerID=8YFLogxK
U2 - 10.35834/2005/1702076
DO - 10.35834/2005/1702076
M3 - Article
AN - SCOPUS:19944412515
SN - 0899-6180
VL - 17
SP - 76
EP - 87
JO - Missouri Journal of Mathematical Sciences
JF - Missouri Journal of Mathematical Sciences
IS - 2
ER -