LEADER 02922nam a2200445 i 4500 001 991003531459707536 006 m o d 007 cr cnu|||unuuu 008 180807s2016 sz ob 001 0 eng d 020 $a9783319147413 020 $a9783319147406 024 7 $a10.1007/978-3-319-14741-3$2doi 035 $ab14348135-39ule_inst 082 04$a515.7$223 084 $aAMS 46-02 084 $aLC QA319-329.9 245 00$aSeparably injective Banach spaces$h[e-book] /$cby Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González, Yolanda Moreno 260 $aCham :$bSpringer,$c2016 300 $a1 online resource (xxii, 217 p.) 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 490 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2132 505 0 $aA primer on injective Banach spaces ; Separably injective Banach spaces ; Spaces of universal disposition ; Ultraproducts of type L? ; ?-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 700 1 $aAvile?s, Antonio.$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0785605 700 1 $aCabello Sa?nchez, Fe?lix$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0785606 700 1 $aCastillo, Jesu?s M. F. 700 1 $aGonza?lez, Manuel 700 1 $aMoreno Koch, Yolanda 773 0 $aSpringer eBooks 776 08$iPrinted edition:$z9783319147406 856 40$uhttps://link.springer.com/book/10.1007/978-3-319-14741-3$zAn electronic book accessible through the World Wide Web 907 $a.b14348135$b03-03-22$c07-08-18 912 $a991003531459707536 996 $aSeparably injective Banach spaces$91748962 997 $aUNISALENTO 998 $ale013$b07-08-18$cm$d@ $e-$feng$gsz $h0$i0