Positivity

2007
ISBN: 978-3-7643-8477-7
Verlag: Springer

Buch, Englisch, 280 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 689 g

Reihe: Trends in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Boulabiar, Karim

Buskes, Gerard

Triki, Abdelmajid

Fachgebiete

• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Wirtschaftswissenschaften Wirtschaftswissenschaften Wirtschaftswissenschaften: Allgemeines
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines

Inhaltsverzeichnis

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.