Téléchargez le livre : The Dual of L8(X,L,?), Finitely Additive Measures and Weak Convergence

The Dual of L8(X,L,?), Finitely Additive Measures and Weak Convergence

A Primer de

Éditeur :

Springer


Collection :

SpringerBriefs in Mathematics

Paru le : 2020-01-03

eBook Téléchargement , DRM LCP 🛈 DRM Adobe 🛈
Lecture en ligne (streaming)
68,56 €
Téléchargement immédiat
Dès validation de votre commande
Image Louise Reader présentation

Louise Reader

Lisez ce titre sur l'application Louise Reader.

badge apple Application Louise Reader
badge Android Application Louise Reader
Description

In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,?)* with Lq(X,L,?), where 1/p+1/q=1, as long as 1 = p<8. However, L8(X,L,?)* cannot be similarly described, and is instead represented as a class of finitely additive measures.
This book provides a reasonably elementary account of the representation theory of L8(X,L,?)*, examining pathologies and paradoxes, and uncovering some surprising consequences. For instance, a necessary and sufficient condition for a bounded sequence in L8(X,L,?) to be weakly convergent, applicable in the one-point compactification of X, is given.
With a clear summary of prerequisites, and illustrated by examples including L8(Rn) and the sequence space l8, this book makes possibly unfamiliar material, some of which may be new, accessible to students and researchers in the mathematical sciences.
Pages
99 pages
Collection
SpringerBriefs in Mathematics
Parution
2020-01-03
Marque
Springer
EAN papier
9783030347314
EAN PDF
9783030347321
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
9
Taille du fichier
1966 Ko
Prix
68,56 €
EAN EPUB
9783030347321
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
9
Taille du fichier
10957 Ko
Prix
68,56 €

Suggestions personnalisées