02987nam 2200577 450 991048057020332120180613001258.01-4704-0798-1(CKB)3360000000464562(EBL)3113881(SSID)ssj0000889220(PQKBManifestationID)11493933(PQKBTitleCode)TC0000889220(PQKBWorkID)10876495(PQKB)11481046(MiAaPQ)EBC3113881(PPN)195412613(EXLCZ)99336000000046456220140908h19871987 uy 0engur|n|---|||||txtccrSome topological and geometrical structures in Banach spaces /N. Ghoussoub [and three others]Providence, Rhode Island :American Mathematical Society,1987.©19871 online resource (123 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 70, Number 378"November 1987, Volume 70, Number 378 (end of volume)."0-8218-2441-4 Includes bibliographical references.""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""""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""Memoirs of the American Mathematical Society ;Volume 70, Number 378.Banach spacesConvexity spacesBanach spacesRadon-Nikodym propertyElectronic books.Banach spaces.Convexity spaces.Banach spacesRadon-Nikodym property.515.7/32Ghoussoub N(Nassif),1953-MiAaPQMiAaPQMiAaPQBOOK9910480570203321Some topological and geometrical structures in Banach spaces1908037UNINA