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200 00$aSome topological and geometrical structures in Banach spaces /$fN. Ghoussoub [and three others]
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1987.
210  4$d©1987
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-
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801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788884803321
996   $aSome topological and geometrical structures in Banach spaces$93696205
997   $aUNINA