Embeddings and Extensions in Analysis by J.H. Wells
Embeddings and Extensions in Analysis (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) by J.H. Wells
English | Jan 22, 1976 | ISBN: 3540070672, 0387070672 | 116 Pages | DJVU | 1 MB
English | Jan 22, 1976 | ISBN: 3540070672, 0387070672 | 116 Pages | DJVU | 1 MB
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.