书目名称 | Topological Vector Spaces and Their Applications |
编辑 | V.I. Bogachev,O.G. Smolyanov |
视频video | http://file.papertrans.cn/927/926440/926440.mp4 |
概述 | Offers a concise course on topological vector spaces oriented towards readers interested in infinite-dimensional analysis.Introduces a systematic and accessible presentation for beginners of measure t |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. .The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.. |
出版日期 | Book 2017 |
关键词 | 46A03, 58C20, 28C20; Topological vector space; Locally convex space; Differentiation in infinite-dimens |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-57117-1 |
isbn_softcover | 978-3-319-86080-0 |
isbn_ebook | 978-3-319-57117-1Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer International Publishing AG 2017 |