Akademik Veri Yönetim Sistemi
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.135, sa.4, ss.1059-1063, 2007 (SCI-Expanded)
Schmidt proved that an operator T from a Banach lattice E into a Banach lattice G with property ( P) is order bounded if and only if its adjoint is order bounded, and in this case T satisfies vertical bar parallel to T vertical bar parallel to=vertical bar parallel to T'vertical bar parallel to. In the present paper the result is generalized to Banach lattices with Levi-Fatou norm serving as range, and some characterizations of Banach lattices with a Levi norm are given. Moreover, some characterizations of Riesz spaces having property (b) are also obtained.