Integration Theory

1. Auflage 1997
ISBN: 978-0-412-57680-5
Verlag: Taylor & Francis Ltd

Buch, Englisch, 294 Seiten, PB, Format (B × H): 157 mm x 235 mm, Gewicht: 399 g

Reihe: Chapman Hall/CRC Mathematics Series

This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory.
Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures, elements of the theory of real functions on R.

Zielgruppe

Research

Autoren/Hrsg.

Filter, Wolfgang

Weber, K.

Weber, Karl

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen

Inhaltsverzeichnis

Introduction, Function Spaces and Functionals, Ordered Sets, Lattices, The Spaces RX and R-X, Vector Lattices of Functions, Functionals, Daniell Spaces, The Extension of Daniell Spaces, Upper Functions, Lower Functions, The Closure of (x, L, I), Convergence of Theorems in (x, L(L), I), Examples, Null Functions and Null Sets, Integrability, Examples, The Induction Principle, Summary, Measure and Integral, The Extension of Positive Measure Spaces, Examples, Locally Integrable Functions, Product Measures, Fubini's Theorem, Measures of Hausdorff Spaces, Lp-Spaces, Vector Lattices, Lp-Spaces, Spaces of Measures, The Vector Lattice Structure, The Variation, Hahn's Theorem, Absolute Continuity, The Radon-Nikodym Theorem, Elements of the Theory of Real Functions on R, Functions of Locally Finite Variation, Absolutely Continuous Functions

Über Autor(innen)

W. Filter Professor of Analysis University of Palermo Italy. K. Weber Professor of Mathematics Technikum Winterthur Switzerland.