Buch, Englisch, Band 525, 307 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 653 g
Buch, Englisch, Band 525, 307 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 653 g
Reihe: Mathematics and Its Applications (closed)
ISBN: 978-0-7923-6619-5
Verlag: Springer Nature B.V.
This book collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Boolean-valued constructions of use in the classical problems of representing abstract analytical objects, such as Banach-Kantorovich spaces, vector measures, and dominated and integral operators. This book is a complement to Volume 358 of "Mathematics and Its Applications": Vector Lattices and Integral Operators, printed in 1996.
Audience: The book is intended for the reader interested in the modern tools of nonstandard models of set theory as applied to problems of contemporary functional analysis. It will also be of use to mathematicians, students and postgraduates interested in measure and integration, operator theory, and mathematical logic and foundation.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
Weitere Infos & Material
Foreword. 1. Nonstandard Methods and Kantorovich Spaces; A.G. Kusraev, S.S. Kutateladze. 2. Functional Representation of a Boolean Valued Universe; A.E. Gutman, G.A. Losenkov. 3. Dual Banach Bundles; A.E. Gutman, A.V. Koptev. 4. Infinitesimals in Vector Lattices; È.Yu. Emel'yanov. 5. Vector Measures and Dominated Mappings; A.G. Kusraev, S.A. Malyugin. Notation Index. Subject Index.
