an: Zbl 1197.46010
au: Kami\'nska, Anna; Parrish, Anca M.
ti: Note on extreme points in Marcinkiewicz function spaces.
la: EN
so: Banach J. Math. Anal. 4, No. 1, 1-12, electronic only (2010).
py: 2010
dt: J
cc: *46B20 46E30
ut: Marcinkiewicz function spaces; extreme points
ab: Summary: We show that the unit ball of the subspace $M^0_W$ of order
    continuous elements of $M_W$ has no extreme points, where $M_W$ is the
    Marcinkiewicz function space generated by a decreasing weight function $w$
    over the interval $(0,\infty)$ and $W(t)=\int^t_0 w$, $t \in (0,\infty)$. We
    also present here a proof of the fact that a function $f$ in the unit ball
    of $M_W$ is an extreme point if and only if $f^*=w$.