Integration Theory (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
296
Utgivningsdatum
1997-07-01
Upplaga
1997.
Förlag
CRC Press
Medarbetare
Weber, K.
Illustratör/Fotograf
biography
Illustrationer
biography
Dimensioner
234 x 156 x 15 mm
Vikt
408 g
Antal komponenter
1
Komponenter
Contains 14 hardbacks
ISBN
9780412576805

Integration Theory

Inbunden,  Engelska, 1997-07-01
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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.
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Övrig information

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

Innehållsförteckning

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