Memoirs of the American Mathematical Society 2000; 162 pp; softcover Volume: 143 ISBN10: 0821813978 ISBN13: 9780821813973 List Price: US$57 Individual Members: US$34.20 Institutional Members: US$45.60 Order Code: MEMO/143/679
 Readership Graduate students and research mathematicians interested in operator theory, functional analysis, and vector lattices. Table of Contents  Setting forth the problems
 Some history
 Synopsis of the main results
 Preliminaries
 The McPolinWickstead and Huijsmansde PagterKoldunov Theorems revisited
 dbases
 Band preserving operators and bandprojections
 Central operators and Problems A and B
 Rangedomain exchange in the Huijsmansde PagterKoldunov Theorem
 dsplitting number of disjointness preserving operators
 Essentially onedimensional and discrete vector lattices
 Essentially constant functions and operators on \(C[0,1]\)
 Counterexamples
 Dedekind complete vector lattices and Problems A and B
 Generalizations to \((r_u)\)complete vector lattices
 Open problems
 References
 Index
