Derived Functors in Functional Analysis
The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex ana...
Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Loạt: | Lecture notes in mathematics
1810 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Derived functors in functional analysis, Jochen Wengenroth, 2003, Berlin, Springer, 1 vol. (VIII-134 p.), Lecture notes in mathematics, 3-540-00236-7 • Derived Functors in Functional Analysis, Texte imprimé, 9783662167564 |
| LEADER | 03750nam a22003977a 4500 | ||
|---|---|---|---|
| 001 | 970644 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155194089 | ||
| 020 | |a 9783540362111 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 515.7 | ||
| 100 | 1 | |a Wengenroth, Jochen. | |
| 245 | 1 | 0 | |a Derived Functors in Functional Analysis |c Jochen Wengenroth. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1810 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- Notions from homological algebra: Derived Functors; The category of locally convex spaces -- The projective limit functor for countable spectra: Projective limits of linear spaces; The Mittag-Leffler procedure; Projective limits of locally convex spaces; Some Applications: The Mittag-Leffler theorem; Separating singularities; Surjectivity of the Cauchy-Riemann operator; Surjectivity of P(D) on spaces of smooth functions; Surjectivity of P(D) the space of distributions; Differential operators for ultradifferentiable functions of Roumieu type -- Uncountable projective spectra: Projective spectra of linear spaces; Insertion: The completion functor; Projective spectra of locally convex spaces -- The derived functors of Hom: Extk in the category of locally convex spaces; Splitting theory for Fréchet spaces; Splitting in the category of (PLS)-spaces -- Inductive spectra of locally convex spaces -- The duality functor -- References -- Index. | |
| 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 text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators. The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program. | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Algèbre homologique | ||
| 650 | |a Théorie des foncteurs | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 070503346 |t Derived functors in functional analysis |f Jochen Wengenroth |d 2003 |c Berlin |n Springer |p 1 vol. (VIII-134 p.) |s Lecture notes in mathematics |z 3-540-00236-7 | |
| 776 | 0 | |t Derived Functors in Functional Analysis |b Texte imprimé |z 9783662167564 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b80165 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-TWCB4CKL-7 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750661054 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b80165 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754010627 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b80165 |z Accès INSA CVL | |
| 997 | |0 970644 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||