| 000 | 03600nam a22005655i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-14741-3 | ||
| 003 | DE-He213 | ||
| 005 | 20210120150114.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160326s2016 gw | s |||| 0|eng d | ||
| 020 |
_a9783319147413 _9978-3-319-14741-3 |
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| 024 | 7 |
_a10.1007/978-3-319-14741-3 _2doi |
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| 050 | 4 | _aQA319-329.9 | |
| 072 | 7 |
_aPBKF _2bicssc |
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_aMAT037000 _2bisacsh |
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| 072 | 7 |
_aPBKF _2thema |
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| 082 | 0 | 4 |
_a515.7 _223 |
| 100 | 1 |
_aAvilés, Antonio. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aSeparably Injective Banach Spaces _h[electronic resource] / _cby Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González, Yolanda Moreno. |
| 250 | _a1st ed. 2016. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016. |
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| 300 |
_aXXII, 217 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2132 |
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| 505 | 0 | _aA 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. | |
| 520 | _aThis 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. | ||
| 650 | 0 | _aFunctional analysis. | |
| 650 | 0 | _aOperator theory. | |
| 650 | 1 | 4 |
_aFunctional Analysis. _0https://scigraph.springernature.com/ontologies/product-market-codes/M12066 |
| 650 | 2 | 4 |
_aOperator Theory. _0https://scigraph.springernature.com/ontologies/product-market-codes/M12139 |
| 700 | 1 |
_aCabello Sánchez, Félix. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 700 | 1 |
_aCastillo, Jesús M.F. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 700 | 1 |
_aGonzález, Manuel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 700 | 1 |
_aMoreno, Yolanda. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319147406 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319147420 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2132 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-14741-3 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 912 | _aZDB-2-LNM | ||
| 942 | _cEBK | ||
| 999 |
_c58483 _d58483 |
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