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OverviewThis text presents the main results since the 1990s on dominated operators, demonstrating a well-developed theory with a range of applications. The exposition focuses on the fundamental properties of dominated operators with special emphasis on their particular classes: integral and pseudointegral operators, disjointness preserving and decomposable operators, and summing and cyclically compact operators. This volume should be of interest to postgraduate students and researchers whose work involves geometric functional analysis, operator theory, vector lattices, measure and integration theory, and mathematical logic and foundations. Full Product DetailsAuthor: A.G. KusraevPublisher: Springer Imprint: Springer Edition: 2000 ed. Volume: 519 Dimensions: Width: 15.50cm , Height: 2.50cm , Length: 23.50cm Weight: 1.820kg ISBN: 9780792364856ISBN 10: 0792364856 Pages: 446 Publication Date: 30 September 2000 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. Boolean Algebras and Vector Lattices.- 2. Lattice-Normed Spaces.- 3. Positive Operators.- 4. Dominated Operators.- 5. Disjointness Preserving Operators.- 6. Integral Operators.- 7. Operators in Spaces with Mixed Norm.- 8. Applications of Boolean-Valued Analysis.- Appendix. Boolean-Valued Models.- References.- Symbol Index.ReviewsThe layout of the book and its exposition are excellent. Two very detailed subjects and symbol indices help considerably to navigate through the text. The book should be in the personal library of any analyst and any scientist interested in order structures and monotone operators. We thank the author for his efforts in producing this fine monograph. <br>(Mathematical Reviews 2002b) Author InformationTab Content 6Author Website:Countries AvailableAll regions |