Banach Lattices with Order Continuous Norms

The book contains about a hundred and fifty various characterizations of Banach lattices having order continuous norms. Many order and topological properties of Banach lattices determined by order continuity are discussed. Some parts of the book are devoted to special types of operators related to order continuity. Majority of results are proved by methods characteristic for Banach lattices theory and (widely comprehended) functional analysis. Sometimes, to emphasize connections of the theory of vector lattices with other branches of analysis and measure theory, techniques far from the abstract Banach lattices are used in proofs.