Turkish Journal of Mathematics
We define approximate separation and extension properties of a Banach lattice and study the relation between these and topological fullness of the ideal centre. Banach lattices with topologically full ideal centre are characterized as those for which the Arens homomorphism m: Z(E)''\rightarrow Z(E') is surjective. Among the positive operators T:E\rightarrow F between Banach lattices E,F we distinguish nearly Z(E) and Z(F) extremal ones and study their properties.
ALPAY, S. and TURAN, B. (1996) "ON SURJECTIVITY OF THE ARENS HOMOMORPHISM," Turkish Journal of Mathematics: Vol. 20: No. 3, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol20/iss3/7