Infinite Dimensional Analysis
A Hitchhiker's Guide
(Sprache: Englisch)
Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. It is a rigorous study of modern functional analysis.
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Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. It is a rigorous study of modern functional analysis.
Klappentext zu „Infinite Dimensional Analysis “
What you'll find in this monograph is nothing less than a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background in the subject and does not plan to make a career as a functional analyst. It develops the topological structures in connection with a number of topic areas such as measure theory, convexity, and Banach lattices, as well as covering the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature.
Inhaltsverzeichnis zu „Infinite Dimensional Analysis “
Odds and ends.- Topology.- Metrizable spaces.- Measurability.- Topological vector spaces.- Normed spaces.- Convexity.- Riesz spaces.- Banach lattices.- Charges and measures.- Integrals.- Measures and topology.- Lp-spaces.- Riesz Representation Theorems.- Probability measures.- Spaces of sequences.- Correspondences.- Measurable correspondences.- Markov transitions.- Ergodicity.
Bibliographische Angaben
- Autoren: Charalambos D. Aliprantis , Kim C. Border
- 2006, 3rd ed., 704 Seiten, Maße: 17,2 x 24,6 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540295860
- ISBN-13: 9783540295860
- Erscheinungsdatum: 19.05.2006
Sprache:
Englisch
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