Characterization of Complex Integrable Lattice Functions and -Free Lattices

This paper is a study on Complex integrable lattice functions and -free lattices. It initiates the concepts of complex integrable lattice function, positive and negative separations of and establishes the separation properties of complex integrable lattice functions. Also it introduce the concepts of free lattice, -free lattice and demonstrate that is a measure on , is a free lattice in , is a -free lattice of s (L). Also it was defined the concept almost free lattice and finally confirm that every almost free lattice is a complex integrable lattice function and a s-additive.