Direct and projective limits of geometric Banach structures /
This book describes in detail the basic context of the Banach setting and the most important Lie structures found in finite dimension. The authors expose these concepts in the convenient framework which is a common context for projective and direct limits of Banach structures. The book presents suff...
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton :
CRC Press, Taylor & Francis Group,
2024.
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| Edition: | First edition. |
| Series: | Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book describes in detail the basic context of the Banach setting and the most important Lie structures found in finite dimension. The authors expose these concepts in the convenient framework which is a common context for projective and direct limits of Banach structures. The book presents sufficient conditions under which these structures exist by passing to such limits. In fact, such limits appear naturally in many mathematical and physical domains. Many examples in various fields illustrate the different concepts introduced. Many geometric structures, existing in the Banach setting, are "stable" by passing to projective and direct limits with adequate conditions. The convenient framework is used as a common context for such types of limits. The contents of this book can be considered as an introduction to differential geometry in infinite dimension but also a way for new research topics. This book allows the intended audience to understand the extension to the Banach framework of various topics in finite dimensional differential geometry and, moreover, the properties preserved by passing to projective and direct limits of such structures as a tool in different fields of research. |
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| Physical Description: | 1 online resource : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781003435587 1003435580 9781000965988 1000965988 9781000966015 1000966011 |