| Description |
1 online resource (313 pages) |
| Series |
Series in real analysis ; v. 10 |
|
Series in real analysis ; v. 10.
|
| Contents |
Preface; Notation; Contents; 1. Bochner Integral; 2. Dunford and Pettis Integrals; 3. McShane and Henstock-Kurzweil Integrals; 4. More on the McShane Integral; 5. Comparison of the Bochner and McShane Integrals; 6. Comparison of the Pettis and McShane Integrals; 7. Primitive of the McShane and Henstock-Kurzweil Integrals; 8. Generalizations of Some Integrals; Appendix A Classical Banach Spaces; Appendix B Series in Banach Spaces; Bibliography; Index |
| Summary |
The relatively new concepts of the HenstockKurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The HenstockKurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals |
| Bibliography |
Includes bibliographical references (pages 291-296) and index |
| Notes |
Print version record |
| Subject |
Banach spaces.
|
|
Banach spaces
|
| Form |
Electronic book
|
| Author |
Guoju, Ye
|
| ISBN |
9789812703286 |
|
9812703284 |
|
