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1.

図書
図書
1. Integration : a functional approach (: Basel ; : Boston)
Klaus Bichteler
出版情報: Basel ; Boston : Birkhäuser, c1998  viii, 193 p. ; 24 cm
シリーズ名: Birkhäuser advanced texts : Basler Lehrbücher / edited by Herbert Amann, Hanspeter Kraft
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2.

図書
図書
2. Integral, probability, and fractal measures
Gerald A. Edgar
出版情報: New York, NY : Springer, c1998  x, 286 p. ; 25 cm
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3.

図書
図書
3. Advanced integration theory
by Corneliu Constantinescu ... [et al.]
出版情報: Dordrecht : Kluwer Academic Publishers, c1998  ix, 861 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 454
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目次情報: 続きを見る
Preface
Acknowledgements
Introduction
Suggestions to the Reader
Preliminaries / 0：
Vector Lattices / 1：
Ordered Vector Spaces / 1.1：
Substructures, Quotients, Products / 1.2：
Bands and Orthogonality / 1.4：
Homomorphisms / 1.5：
The Order Dual of a Vector Lattice / 1.6：
Continuous Functionals / 1.7：
Order and Topology / 1.8：
Metric Spaces and Banach Spaces / 1.9：
Banach Lattices / 1.10：
Hilbert Lattices / 1.11：
Lattice Products / 1.12：
Elementary Integration Theory / 2：
Riesz Lattices / 2.1：
Daniell Spaces / 2.2：
The Closure of a Daniell Space / 2.3：
The Integral for a Daniell Space / 2.4：
Systems of Sets, Step Functions, and Stone Lattices / 2.5：
Positive Measures / 2.6：
Closure, Completion, and Integrals for Positive Measure Spaces / 2.7：
Measurable Spaces and Measurability / 2.8：
Measurability versus Integrability / 2.9：
Stieltjes Functionals and Stieltjes Measures. Lebesgue Measure / 2.10：
L[superscript p]-Spaces / 3：
Classes modulo [mu] and Convergence in Measure / 3.1：
The Holder and Minkowski Inequalities and the L[superscript p]-Spaces / 3.2：
L[superscript p]-Spaces for 0 [ p [ [infinity] / 3.3：
Uniform integrability and the Generalized Lebesgue Convergence Theorem / 3.4：
Localization / 3.5：
Products and L[superscript [infinity]] / 3.6：
Real Measures / 4：
Nullcontinuous Functionals / 4.1：
Real Measures and Spaces of Real Measures / 4.2：
Integrals for Real Measures / 4.3：
Bounded Measures / 4.4：
Atomic and Atomless Measures / 4.5：
The Radon-Nikodym Theorem. Duality / 5：
Absolute Continuity / 5.1：
The Theorem of Radon-Nikodym / 5.2：
Duality for Function Spaces / 5.3：
The Classical Theory of Real Functions / 6：
Functions of Locally Finite Variation / 6.1：
Real Stieltjes Measures / 6.2：
Absolutely Continuous Functions / 6.3：
Vitali's Covering Theorem / 6.4：
Differentiable Functions / 6.5：
Spaces of Multiply Differentiable Functions / 6.6：
Riemann-Stieltjes Integrals / 6.7：
Historical Remarks
Name Index
Subject Index
Symbol Index
Preface
Acknowledgements
Introduction
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