Maharam extensions of positive operators and f-modules
The principal result of this paper is the construction of simultaneous extensions of collections of positive linear operators between vector lattices to interval preserving operators (i.e., Maharam operators). This construction is based on some properties of so-called f-modules. The properties and structure of these extension spaces is discussed in some detail.
Additional Information© Kluwer Academic Publishers 2002. (Received 25 July 2000; accepted 4 March 2001) Dedicated to the memory of our friend and colleague Pay Huijsmans.
Published - 10.1023_2FA_1015249114403.pdf