Functional analysis in asymmetric normed spaces
An asymmetric norm is a positive definite sublinear functional p on a real vector space X. The topology generated by the asymmetric norm p is translation invariant so that the addition is continuous, but the asymmetry of the norm implies that the multiplication by scalars is continuous only when res...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Edisyon: | 1st ed. 2013. |
| Seri Bilgileri: | Frontiers in Mathematics
|
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Functional analysis in asymmetric normed spaces, ÒStefan CobzaÒs, [Basel], Birkhäuser, Springer, 2013, 1 vol. (X-219 p.), Frontiers in mathematics, 978-3-03-480477-6 • Functional Analysis in Asymmetric Normed Spaces, Texte imprimé, 9783034804790 |
İçindekiler:
- Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces 1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis 2.1. Continuous linear operators between asymmetric normed spaces 2.2. Hahn-Banach type theorems and the separation of convex sets 2.3. The fundamental principles 2.4. Weak topologies 2.5. Applications to best approximation 2.6. Spaces of semi-Lipschitz functions Bibliography Index.