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Topics In Banach Space Integration.

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 year...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schwabik, tefan
Otros Autores: Guoju, Ye
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, 2005.
Colección:Series in real analysis ; v. 10.
Temas:
Acceso en línea:Texto completo

MARC

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490 1 |a Series in real analysis ;  |v v. 10 
520 |a 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. 
588 0 |a Print version record. 
504 |a Includes bibliographical references (pages 291-296) and index. 
505 0 |a 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. 
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650 0 |a Banach spaces. 
650 6 |a Espaces de Banach. 
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