Separably Injective Banach Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Separably Injective Banach Spaces by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Antonio Avilés, Yolanda Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez ISBN: 9783319147413
Publisher: Springer International Publishing Publication: March 26, 2016
Imprint: Springer Language: English
Author: Antonio Avilés, Yolanda Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
ISBN: 9783319147413
Publisher: Springer International Publishing
Publication: March 26, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Demography, Politics, and Partisan Polarization in the United States, 1828–2016 by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Reliability, Safety, and Security of Railway Systems. Modelling, Analysis, Verification, and Certification by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Linking the Space Shuttle and Space Stations by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Pillars of Computing by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book University Evolution, Entrepreneurial Activity and Regional Competitiveness by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book University Initiatives in Climate Change Mitigation and Adaptation by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Advances in Artificial Pancreas Systems by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book The Phenomenon of Mental Disorder by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Tobacco Cessation and Substance Abuse Treatment in Women’s Healthcare by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Cardiac Emergencies in Children by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Statistical Causal Inferences and Their Applications in Public Health Research by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Examining Text and Authorship in Translation by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book Reviews on Biomarker Studies of Metabolic and Metabolism-Related Disorders by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
Cover of the book The Impact of eConveyancing on Title Registration by Antonio Avilés, Yolanda  Moreno, Manuel González, Jesús M.F. Castillo, Félix Cabello Sánchez
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy