Embeddings and Extensions in Analysis

- Softcover Repri

af


Studiebog
Embeddings and Extensions in Analysis
Du sparer Spar kr. 55,00 med Shopping-fordele
  • Leveringstid 5-8 hverdage
  • Forventet levering 28-04-2021
For at købe bogen til fordelspris skal du have et medlemskab med Shopping-fordele. Du kan prøve medlemskabet gratis de første 30 dage. Medlemskabet fornyes automatisk og kan altid opsiges. Læs mere om medlemskaber og Shopping-fordele her.
Format:
Bog, paperback
Udgivelsesdato:
01-11-2011
Sprog:
Engelsk
Udgave:
Softcover reprint of the original 1st ed. 1975.
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

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].

Andre udgaver:

E-bog, PDF

Vis mereVis mindre

Udgivelsesdato:
01-11-2011
ISBN13:
9783642660399
Vægt:
229 g
Dybde:
7 mm
Bredde:
170 mm
Højde:
244 mm
Nummer i serien:
84
Format:
Paperback
Forfattere

Vis mereVis mindre

Vis mereVis mindre

Fandt du ikke hvad du søgte?

Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.

Velkommen til Saxo – din danske boghandel!

Hos os kan du handle som gæst, Saxo-bruger eller Premium-medlem – du bestemmer helt selv. Skulle du få brug for hjælp, sidder vores kundeservice-team klar ved både telefonerne og tasterne.

Om fordelspriser hos Saxo

For at købe bøger til fordelspris, skal du være medlem af Premium, Premium Shopping eller Premium Studie. De første 30 dage er gratis for nye medlemmer. Medlemskabet fornyes automatisk og kan altid opsiges. Læs mere om fordelene ved vores forskellige medlemskaber her.

Machine Name: SAXO082