Abstract. We investigate some properties of the class of semi-compact operators on Banach lattices and we give some interesting consequences. In particular we are interested in Banach lattices $E$ and $F$ such that (a) every order bounded operator $T\colon E\rightarrow F$ possessing a semi-compact adjoint is semi-compact as well, (b) every order bounded semi-compact operator $T\colon E\rightarrow F$ has a semi-compact adjoint.
AMS Subject Classification
(1991): 46A40, 46B40, 46B42
Keyword(s):
semi-compact operator,
order continuous norm,
discrete Banach lattice
Received March 5, 2010, and in revised form May 10, 2010. (Registered under 18/2010.)
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