LEADER 02983nam 2200577 450 001 9910827796703321 005 20180613001258.0 010 $a1-4704-0798-1 035 $a(CKB)3360000000464562 035 $a(EBL)3113881 035 $a(SSID)ssj0000889220 035 $a(PQKBManifestationID)11493933 035 $a(PQKBTitleCode)TC0000889220 035 $a(PQKBWorkID)10876495 035 $a(PQKB)11481046 035 $a(MiAaPQ)EBC3113881 035 $a(RPAM)3367938 035 $a(PPN)195412613 035 $a(EXLCZ)993360000000464562 100 $a20140908h19871987 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aSome topological and geometrical structures in Banach spaces /$fN. Ghoussoub [and three others] 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1987. 210 4$dİ1987 215 $a1 online resource (123 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 70, Number 378 300 $a"November 1987, Volume 70, Number 378 (end of volume)." 311 $a0-8218-2441-4 320 $aIncludes bibliographical references. 327 $a""Contents""; ""0. Introduction""; ""I. First class functions around a subset of a Polish space""; ""A. Characterizations of first class functions around sets""; ""B. Spaces of continuous functions and convergence around sets""; ""C. Compact families of first class functions around a subset of a Polish space""; ""II. Affine and first class functions around a subset of a convex compact""; ""III. Dentability and related notions in Banach spaces""; ""A. Some geometrical properties of subsets of Banach spaces""; ""B. Extension of the above properties to operators"" 327 $a""IV. Operators from L[sup(1)][0,1] into Banach spaces""""A. The structure of the positive face of the unit ball of L[sup(1)]""; ""B. Equimeasurable sets and Radon-Nikodym operators""; ""C. Sets of small oscillation and strongly regular operators""; ""D. Sets of regular oscillation and regular operators""; ""V. A characterization of strongly regular Banach spaces""; ""VI. On w*-regular sets in dual Banach spaces""; ""A. On the topological structure of w*-regular sets""; ""B. w*-regularity and the w*-Radon-Nikodym property""; ""C. Regular w*-compact convex sets"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 70, Number 378. 606 $aBanach spaces 606 $aConvexity spaces 606 $aBanach spaces$xRadon-Nikodym property 615 0$aBanach spaces. 615 0$aConvexity spaces. 615 0$aBanach spaces$xRadon-Nikodym property. 676 $a515.7/32 702 $aGhoussoub$b N$g(Nassif),$f1953- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827796703321 996 $aSome topological and geometrical structures in Banach spaces$94058585 997 $aUNINA