LEADER 03694nam 22006735 450 001 9910136809503321 005 20260116220438.0 010 $a3-319-14741-2 024 7 $a10.1007/978-3-319-14741-3 035 $a(CKB)3710000000627435 035 $a(SSID)ssj0001660758 035 $a(PQKBManifestationID)16441769 035 $a(PQKBTitleCode)TC0001660758 035 $a(PQKBWorkID)14989968 035 $a(PQKB)11356525 035 $a(DE-He213)978-3-319-14741-3 035 $a(MiAaPQ)EBC6303456 035 $a(MiAaPQ)EBC5592720 035 $a(Au-PeEL)EBL5592720 035 $a(OCoLC)945695580 035 $a(PPN)192285858 035 $a(EXLCZ)993710000000627435 100 $a20160326d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSeparably Injective Banach Spaces /$fby Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González, Yolanda Moreno 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XXII, 217 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2132 300 $aIncludes index. 311 08$a3-319-14740-4 327 $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. 330 $aThis monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as l?/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L? spaces and spaces of universal disposition). It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines of research. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2132 606 $aFunctional analysis 606 $aOperator theory 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 615 0$aFunctional analysis. 615 0$aOperator theory. 615 14$aFunctional Analysis. 615 24$aOperator Theory. 676 $a512.62 700 $aAvilés$b Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut$0785605 702 $aCabello Sa?nchez$b Fe?lix$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aCastillo$b Jesu?s M. F.$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aGonza?lez$b Manuel$f1957-$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMoreno Koch$b Yolanda$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910136809503321 996 $aSeparably Injective Banach Spaces$92182310 997 $aUNINA