TY - JOUR
T1 - Extreme and smooth points in lorentz and marcinkiewicz spaces with applications to contractive projections
AU - Kamińska, Anna
AU - Lee, Han Ju
AU - Lewicki, Grzegorz
PY - 2009
Y1 - 2009
N2 - We characterize extreme and smooth points in the Lorentz sequence space d(w, 1) and in Marcinkiewicz sequence spaces d*(w, 1) and d*(w, 1), which are predual and dual spaces to d(w, 1), respectively. We then apply these characterizations for studying the relationship between the existence sets and one-complemented subspaces in d(w, 1). We show that a subspace of d(w, 1) is an existence set if and only if it is one-complemented.
AB - We characterize extreme and smooth points in the Lorentz sequence space d(w, 1) and in Marcinkiewicz sequence spaces d*(w, 1) and d*(w, 1), which are predual and dual spaces to d(w, 1), respectively. We then apply these characterizations for studying the relationship between the existence sets and one-complemented subspaces in d(w, 1). We show that a subspace of d(w, 1) is an existence set if and only if it is one-complemented.
UR - http://www.scopus.com/inward/record.url?scp=72549109190&partnerID=8YFLogxK
U2 - 10.1216/RMJ-2009-39-5-1533
DO - 10.1216/RMJ-2009-39-5-1533
M3 - Article
AN - SCOPUS:72549109190
SN - 0035-7596
VL - 39
SP - 1533
EP - 1572
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 5
ER -