| 书目名称 | Embeddings and Extensions in Analysis |
| 编辑 | J. H. Wells,L. R. Williams |
| 视频video | http://file.papertrans.cn/308/307986/307986.mp4 |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge |
| 图书封面 |  |
| 描述 | The object of this book is a presentation of the major results relating to two geometrically inspired problems in analysis. One is that of determining which metric spaces can be isometrically embedded in a Hilbert space or, more generally, P in an L space; the other asks for conditions on a pair of metric spaces which will ensure that every contraction or every Lipschitz-Holder map from a subset of X into Y is extendable to a map of the same type from X into Y. The initial work on isometric embedding was begun by K. Menger [1928] with his metric investigations of Euclidean geometries and continued, in its analytical formulation, by I. J. Schoenberg [1935] in a series of papers of classical elegance. The problem of extending Lipschitz-Holder and contraction maps was first treated by E. J. McShane and M. D. Kirszbraun [1934]. Following a period of relative inactivity, attention was again drawn to these two problems by G. Minty‘s work on non-linear monotone operators in Hilbert space [1962]; by S. Schonbeck‘s fundamental work in characterizing those pairs (X,Y) of Banach spaces for which extension of contractions is always possible [1966]; and by the generalization of many of Schoenbe |
| 出版日期 | Book 1975 |
| 关键词 | Analysis; Einbettung; Erweiterung; Extensions; Hilbert space; Mint; banach spaces; boundary element method; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-66037-5 |
| isbn_softcover | 978-3-642-66039-9 |
| isbn_ebook | 978-3-642-66037-5 |
| copyright | Springer-Verlag Berlin Heidelberg 1975 |
|Archiver|手机版|小黑屋|
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