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.

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.