Additive Subgroups of Topological Vector Spaces
The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. It is based on the original notion of a n...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1466 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Additive subgroups of topological vector spaces, Wojciech Banaszczyk, 1991, Berlin, Springer-Verlag, 1 volume (VI-178 pages), Lecture notes in mathematics, 0-387-53917-4 • Additive Subgroups of Topological Vector Spaces, Texte imprimé, 9783662215265 |
| LEADER | 03199nam a22003857a 4500 | ||
|---|---|---|---|
| 001 | 970470 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155191233 | ||
| 020 | |a 9783540463962 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Banaszczyk, Wojciech, |d 1954- | |
| 245 | 1 | 0 | |a Additive Subgroups of Topological Vector Spaces |c Wojciech Banaszczyk. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1466 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries -- Exotic groups -- Nuclear groups -- The bochner theorem -- Pontryagin duality. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. It is based on the original notion of a nuclear group, which includes LCA groups and nuclear locally convex spaces together with their additive subgroups, quotient groups and products. For (metrizable, complete) nuclear groups one obtains analogues of the Pontryagin duality theorem, of the Bochner theorem and of the Lévy-Steinitz theorem on rearrangement of series (an answer to an old question of S. Ulam). The book is written in the language of functional analysis. The methods used are taken mainly from geometry of numbers, geometry of Banach spaces and topological algebra. The reader is expected only to know the basics of functional analysis and abstract harmonic analysis. | ||
| 650 | |a Analyse harmonique (mathématiques) | ||
| 650 | |a Espaces vectoriels topologiques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Groupes topologiques | ||
| 650 | |a Groupes localement compacts | ||
| 776 | 0 | |0 022058346 |t Additive subgroups of topological vector spaces |f Wojciech Banaszczyk |d 1991 |c Berlin |n Springer-Verlag |p 1 volume (VI-178 pages) |s Lecture notes in mathematics |z 0-387-53917-4 | |
| 776 | 0 | |t Additive Subgroups of Topological Vector Spaces |b Texte imprimé |z 9783662215265 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0089147 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-RTQ1KFM1-W |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750662824 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0089147 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754012298 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0089147 |z Accès INSA CVL | |
| 997 | |0 970470 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||