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It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines of research.
It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines of research.
This is the first book dedicated to the subject
Most of the material has never appeared in book form before (and all references to external results have been restricted to material which can be found in books)
The exposition is lively and detailed, in contrast to the typical style of mathematical papers
The monograph contains many annotated open problems, alternative routes and suggestions for new lines of research.
Includes supplementary material: [...]
A primer on injective Banach spaces.- Separably injective Banach spaces.- Spaces of universal disposition.- Ultraproducts of type L.- -injectivity.- Other weaker forms of injectivity.- Open Problems.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Lecture Notes in Mathematics |
| Inhalt: |
xxii
217 S. |
| ISBN-13: | 9783319147406 |
| ISBN-10: | 3319147404 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-14740-6 |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Avilés, Antonio
Cabello Sánchez, Félix Castillo, Jesús M. F. González, Manuel Moreno, Yolanda |
| Auflage: | 1st edition 2016 |
| Hersteller: |
Springer
Lecture Notes in Mathematics |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 14 mm |
| Von/Mit: | Antonio Avilés (u. a.) |
| Erscheinungsdatum: | 27.03.2016 |
| Gewicht: | 0,376 kg |
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