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.

Sommario

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.

Riassunto

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.

Dettagli sul prodotto

• Con la collaborazione di: Karim Boulabiar (Editore), Gerar Buskes (Editore), Gerard Buskes (Editore), Abdelmajid Triki (Editore)
• Editore: Springer, Basel
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 25.09.2007
• EAN: 9783764384777
• ISBN: 978-3-7643-8477-7
• Pagine: 350
• Peso: 660 g
• Illustrazioni: VII, 280 p.
• Serie: Trends in Mathematics; Trends in Mathematics
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi; 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