Unbounded linear operators : theory and applications [texte imprimé] /
Seymour Goldberg (1928-2004), Auteur . -
New York : McGraw-Hill, 1966 . - VIII, 199 p. : ill. ; 23 cm. - (
McGraw-Hill series in higher mathematics) .
Bibliogr. p. [191]-195. - Index
Langues : Anglais (
eng)
| Mots-clés : |
Opérateurs linéaires
Linear operators |
| Index. décimale : |
517.983 Opérateurs linéaires. Equations opérationnelles linéaires. |
| Résumé : |
The aim of this book is to present a systematic treatment of the theory of unbounded linear operators in normed linear (not necessarily Hilbert) spaces with applications to differential equations. Except for the last chapter, the material is quite self-contained. The reader is assumed to be familiar with metric spaces and real variable theory. |
| Note de contenu : |
Summary :
1. Introduction to normed linear spaces.
2. Linear operators and their conjugates.
3. Strictly singular operators.
4. Operators with closed range.
5. Perturbation theory.
6. Applications to ordinary differential operators.
7. The dirichlet operator. |
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