An Introduction to Banach Space Theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1998
|
| Series: | Graduate Texts in Mathematics
183 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Many important reference works in Banach space theory have appeared since Banach's "Théorie des Opérations Linéaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text |
| Physical Description: | 1 Online-Ressource (XIX, 599 p) |
| ISBN: | 9781461206033 9781461268352 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0603-3 |
Staff View
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| indexdate | 2024-07-10T01:21:05Z |
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| isbn | 9781461206033 9781461268352 |
| issn | 0072-5285 |
| language | English |
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| spelling | Megginson, Robert E. Verfasser aut An Introduction to Banach Space Theory by Robert E. Megginson New York, NY Springer New York 1998 1 Online-Ressource (XIX, 599 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 183 0072-5285 Many important reference works in Banach space theory have appeared since Banach's "Théorie des Opérations Linéaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text Mathematics Global analysis (Mathematics) Mathematical physics Analysis Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Banach-Raum (DE-588)4004402-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-0603-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Megginson, Robert E. An Introduction to Banach Space Theory Mathematics Global analysis (Mathematics) Mathematical physics Analysis Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4004402-6 |
| title | An Introduction to Banach Space Theory |
| title_auth | An Introduction to Banach Space Theory |
| title_exact_search | An Introduction to Banach Space Theory |
| title_full | An Introduction to Banach Space Theory by Robert E. Megginson |
| title_fullStr | An Introduction to Banach Space Theory by Robert E. Megginson |
| title_full_unstemmed | An Introduction to Banach Space Theory by Robert E. Megginson |
| title_short | An Introduction to Banach Space Theory |
| title_sort | an introduction to banach space theory |
| topic | Mathematics Global analysis (Mathematics) Mathematical physics Analysis Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Mathematical physics Analysis Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Banach-Raum |
| url | https://doi.org/10.1007/978-1-4612-0603-3 |
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