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.

List of contents

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.

Summary

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.

Product details

• Assisted by: Karim Boulabiar (Editor), Gerar Buskes (Editor), Gerard Buskes (Editor), Abdelmajid Triki (Editor)
• Publisher: Springer, Basel
• Languages: English
• Product format: Hardback
• Released: 25.09.2007
• EAN: 9783764384777
• ISBN: 978-3-7643-8477-7
• No. of pages: 350
• Weight: 660 g
• Illustrations: VII, 280 p.
• Series: Trends in Mathematics; Trends in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, Algebra, C, Economics, Economics, general, Mathematics and Statistics, Functional Analysis, Management science, Manifolds and Cell Complexes (incl. Diff.Topology), Manifolds (Mathematics), Analytic geometry, Manifolds and Cell Complexes, Complex manifolds, Analytic topology, Analysis (Mathematics), Functional analysis & transforms, Mathematical analysis, Operator Theory, Order, Lattices, Ordered Algebraic Structures, Ordered algebraic structures