Author | Kelley, John L. author |
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Title | Measure and Integral [electronic resource] : Volume 1 / by John L. Kelley, T. P. Srinivasan |
Imprint | New York, NY : Springer New York, 1988 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-4570-4 |
Descript | X, 150 p. online resource |
0: Preliminaries -- Sets -- Functions -- Countability -- Orderings and Lattices -- Convergence in ?* -- Unordered Summability -- Hausdorff Maximal Principle -- 1: Pre-Measures -- Supplement: Contents -- Supplement: G Invariant Contents -- Supplement: Carathรฉodory Pre-Measures -- 2: Pre-Measure to Pre-Integral -- Supplement: Volume ?n;The Iterated Integral -- Supplement: Pre-Integrals on Cc(X) and C0(X) -- 3: Pre-Integral to Integral -- 4: Integral to Measure -- Supplement: Lebesgue Measure ?n for ?n -- Supplement: Measures on B?(X) -- Supplement: G Invariant Measures -- 5: Measurability and ?-Simplicity -- Supplement: Standard Borel Spaces -- 6: The Integral I? on L1(?) -- Supplement: Borel Measures and Positive Functionals -- 7: Integrals* and Products -- Supplement: Borel Product Measure -- 8: Measures* and Mappings -- Supplement: Stieltjes Integration -- Supplement: The Image of ?p Under a Smooth Map 100 Supplement: Maps of Borel Measures*; Convolution -- 9: Signed Measures and Indefinite Integrals -- Supplement: Decomposable Measures -- Supplement: Haar Measure -- 10: Banach Spaces -- Supplement: The Spaces C0(X)* and L1(?)* -- Supplement: Complex Integral and Complex Measure -- Supplement: The Bochner Integral -- Selected References