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Theory of charges : a study of finitely additive measures /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London ; New York :
Academic Press,
1983.
|
| Colección: | Pure and applied mathematics (Academic Press) ;
109. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
MARC
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| 005 | 20231117032841.0 | ||
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| 100 | 1 | |a Bhaskara Rao, K. P. S. | |
| 245 | 1 | 0 | |a Theory of charges : |b a study of finitely additive measures / |c K.P.S. Bhaskara Rao, M. Bhaskara Rao. |
| 260 | |a London ; |a New York : |b Academic Press, |c 1983. | ||
| 300 | |a 1 online resource (x, 315 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics ; |v 109 | |
| 504 | |a Includes bibliographical references (pages 282-304) and index. | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 8 | |6 880-01 |a 6.1 Absolute continuity and singularity6.2 Lebesgue Decomposition theorem; 6.3 Radon-Nikodym theorem; CHAPTER 7 Vp-SPACES; 7.1 Lp- spaces-An overview; 7.2 Vp- spaces; 7.3 Duals of Vp- spaces; 7.4 Strong Convergence; 7.5 Weak Convergence; CHAPTER 8 NIKODYM THEOREM, WEAK CONVERGENCE AND VITALI-HAHN-SAKS THEOREM; 8.1 Nikodym and Vitali-Hahn-Saks theorems in the classical case; 8.2 Examples; 8.3 Phillips' lemma; 8.4 Nikodym theorem; 8.5 Norm bounded sets in the presence of uniform absolute continuity; 8.6 A decomposition theorem; 8.7 Weak convergence; 8.8 Vitali-Hahn-Saks theorem. | |
| 505 | 8 | |6 880-02 |a Appendix 1 Notes and CommentsAppendix 2 Selected Annotated Bibliography; Appendix 3 Some Set Theoretic Nomenclature; Index of Symbols and Function Spaces; Subject Index. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 6 | |a Topologie alg�ebrique. |0 (CaQQLa)201-0008982 | |
| 650 | 6 | |a Th�eorie de la mesure. |0 (CaQQLa)201-0005696 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Algebraic topology |2 fast |0 (OCoLC)fst00804941 | |
| 650 | 7 | |a Measure theory |2 fast |0 (OCoLC)fst01013175 | |
| 650 | 1 | 7 | |a Algebra�ische topologie. |2 gtt |
| 650 | 1 | 7 | |a Lading (wiskunde) |2 gtt |
| 653 | |a Algebraic topology | ||
| 700 | 1 | |a Bhaskara Rao, M. | |
| 776 | 0 | 8 | |i Print version: |a Bhaskara Rao, K.P.S. |t Theory of charges. |d London ; New York : Academic Press, 1983 |z 9780120957804 |w (DLC) 85114538 |w (OCoLC)21196971 |
| 830 | 0 | |a Pure and applied mathematics (Academic Press) ; |v 109. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780120957804 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00798169/109 |z Texto completo |
| 880 | 0 | |6 505-00/(S |a Front Cover; Theory of Charges: A Study of Finitely Additive Measures; Copyright Page; Contents; Foreword; Preface; CHAPTER 1 PRELIMINARIES; 1.1 Classes of sets; 1.2 Set theoretical concepts; 1.3 Topological concepts; 1.4 Boolean algebras; 1.5 Functional analytic concepts; CHAPTER 2 CHARGES; 2.1 Basic concepts; 2.2 The space of all bounded charges, ba(Ω, F); 2.3 Measures; 2.4 The space of all bounded measures, ca(Ω, F); 2.5 Jordan Decomposition theorem; 2.6 Hahn Decomposition theorem; CHAPTER 3 EXTENSIONS OF CHARGES; 3.1 Real valued set functions and induced functionals. | |
| 880 | 8 | |6 505-01/(S |a 3.2 Real partial charges and their extensions3.3 Extension procedure of Los and Marczewski; 3.4 Extension of partial charges in the general case; 3.5 Miscellaneous extensions; 3.6 Common extensions; CHAPTER 4 INTEGRATION; 4.1 Total variation and outer charges; 4.2 Null sets and null functions; 4.3 Hazy convergence; 4.4 D-integral; 4.5 S-integral; 4.6 Lp- spaces; 4.7 ba(Ω, F) as a dual space; CHAPTER 5 NONATOMIC CHARGES; 5.1 Basic concepts; 5.2 Sobczyk-Hammer Decomposition theorem; 5.3 Existence of nonatomic charges; 5.4 Denseness; CHAPTER 6 ABSOLUTE CONTINUITY. | |
| 880 | 8 | |6 505-02/(S |a CHAPTER 9 THE DUAL OF ba (Ω, F) AND THE REFINEMENT INTEGRAL9.1 Refinement integral; 9.2 The dual of ba(Ω, F); CHAPTER 10 PURE CHARGES; 10.1 Definitions and properties; 10.2 A decomposition theorem; 10.3 Pure charges on σ-fields; 10.4 Examples; 10.5 Pure charges on Boolean algebras; CHAPTER 11 RANGES OF CHARGES; 11.1 Ranges of bounded charges on fields; 11.2 Ranges of charges on σ-fields; 11.3 Cardinalities of ranges of charges; 11.4 Charges with closed range; 11.5 Charges whose ranges are neither Lebesgue measurable nor have the property of Baire; CHAPTER 12 ON LIFTING. | |