Positivity

This book presents nine survey articles addressing topics surrounding positivity, with an emphasis on functional analysis. The book assembles a wide spectrum of research into positivity, providing up-to-date information on topics of current interest. The discussion provides insight into classical areas like spaces of continuous functions, f-algebras, and integral operators. The coverage extends is broad, including vector measures, operator spaces, ordered tensor products, and non-commutative Banach function spaces.

Contenu
Ways in which C(X) mod a Prime Ideal Can be a Valuation Domain; Something Old and Something New.- Positivity in Operator Algebras and Operator Spaces.- Results in f-algebras.- Bilinear Maps on Products of Vector Lattices: A Survey.- Vector Measures, Integration and Applications.- The Role of Frames in the Development of Lattice-ordered Groups: A Personal Account.- Non-commutative Banach Function Spaces.- Positive Operators on L p-spaces.- Regular Operators between Banach Lattices.