Separably Injective Banach Spaces

• Main Authors: Avilés, Antonio (Author), Cabello Sánchez, Félix (Author), Castillo, Jesús M.F (Author), González, Manuel (Author), Moreno, Yolanda (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Lecture Notes in Mathematics, 2132
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Functional Analysis.; Operator Theory.

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 uni...

Table of Contents:

• A primer on injective Banach spaces
• Separably injective Banach spaces
• Spaces of universal disposition
• Ultraproducts of type L∞
• ℵ-injectivity
• Other weaker forms of injectivity
• Open Problems.