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Separably Injective Banach Spaces / by Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González, Yolanda Moreno.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Avilés, Antonio, author.
- Cabello Sánchez, Félix, author.
- Castillo, Jesús M. F., author.
- González, Manuel, 1957- author.
- Moreno Koch, Yolanda, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2132.
- Lecture Notes in Mathematics, 0075-8434 ; 2132
- Language:
- English
- Subjects (All):
- Mathematics.
- Functional analysis.
- Operator theory.
- Physical Description:
- 1 online resource (XXII, 217 pages).
- Edition:
- First edition 2016.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2016.
- System Details:
- text file PDF
- Summary:
- 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.
- 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.
- ISBN:
- 9783319147413
- Access Restriction:
- Restricted for use by site license.
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