Embeddings and Extensions in Analysis
Availability: In stock
Regular Price
AED 495.56
Special Price
AED 470.78
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 Schoenberg's embedding theorems to the P setting of L spaces by Bretagnolle, Dachuna Castelle and Krivine [1966]
Publisher Name | Springer |
---|---|
Author Name | Hagendorf, Col |
Format | Audio |
Bisac Subject Major | MAT |
Language | NG |
Isbn 10 | 3540070672 |
Isbn 13 | 9783540070672 |
Target Age Group | min:NA, max:NA |
Series | 00011375084 |
Dimensions | 00.00" H x 00.00" L x 00.00" W |
Page Count | 110 |
Write Your Own Review
Recommended Products
The Kite Runner 20th Anniversa...
Pre-order Price...
Regular Price
AED 140.00
Special Price
AED 93.00
The Secret of The Nagas (Shiva...
Today, He is a God. 4000 years ago, He was just a man.
The hunt is on. The sinister Naga warrior...
AED 40.00
IMMORTALS OF MELUHA- Amish
he Immortals of Meluha is the first book of Amish Tripathi, first book of Amishverse, and also the...
AED 35.00