Separably Injective Banach Spaces: 2132 (Lecture Notes in Mathematics) - Tapa blanda

Avilés, Antonio; Cabello Sánchez, Félix; Castillo, Jesús M.F.; González, Manuel; Moreno, Yolanda

 
9783319147406: Separably Injective Banach Spaces: 2132 (Lecture Notes in Mathematics)
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ISBN 10: 3319147404 ISBN 13: 9783319147406
Editorial: Springer, 2016

Sinopsis

This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as l∞/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L∞ spaces and spaces of universal disposition).

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.

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De la contraportada

This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples  (such as l8/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L8 spaces and spaces of universal disposition).

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3319147404
ISBN 13 
9783319147406
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
244
Contacto del fabricante
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Poststr. 9
Darmstadt
64293
Alemania

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9783319147420: Separably Injective Banach Spaces

Edición Destacada

ISBN 10:  3319147420 ISBN 13:  9783319147420
Editorial: Springer, 2016
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