内容简介：
This volume is devoted to modern accomplishments in the field of vector lattices and integral operators which were achieved in Russia since the 1970s. Nonstandard methods are elaborated for the analysis of vector lattices under multiplication by an arbitrary bounded operator for various classes of operators which are defined in terms oforder. Also, several approaches to the solution of the J. von Neumann problem on the conditions for integrability of a linear operator are treated, and full information is given on the solution of some problems posed by P. Halmos and V. Sunder.