Description
A subspace of a Banach space E is said to be 1-complemented if it is the ra=
nge of a contractive projection, and positively 1-complemented if the proje=
ction is, in addition, positive. In the commutative Lp spaces, the descript=
ion of contractive projections is well known (see, e.g., Ando's Theorem, 19=
66). In 1992, Arazy and Friedman provided a characterization of the 1-compl=
emented subspaces of S^p(H), the noncommutative Lp space associated with B(=
H), for p=E2=89=A02. In this talk, I will focus on the positively 1-complem=
ented subspaces of S^p(H), and briefly on the case p=3D2
