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...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Σειρά: | Lecture notes in mathematics
1810 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
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 |
Πίνακας περιεχομένων:
- 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.