Reprinted by popular demand, this monograph presents a comprehensive
study of positive operators between Riesz spaces and Banach lattices.
Since the first publication of this book, (Academic Press, 1985), the
subject of positive operators and Riesz spaces has found many
applications in several disciplines, including social sciences and
engineering. It is well known that many linear operators between Banach
spaces arising in classical analysis are in fact positive operators.
Therefore we study here positive operators in the setting of Riesz
spaces and Banach lattices and from both the algebraic and topological
points of view. Special emphasis is given to the compactness properties
of positive operators and their relations to the order structures of the
spaces the operators are acting upon. In order to make the book as
self-sufficient as possible, some basic results from the theory of Riesz
spaces and Banach lattices are included with proofs where necessary.
However, familiarity with the elementary concepts of real analysis and
functional analysis is assumed. The book is divided into five chapters,
each consisting of nineteen sections all ending with exercises designed
to supplement and illustrate the material.
