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200 10$aBanach space theory $eproceedings of a research workshop held July 5-25, 1987, with support from the National Science Foundation /$fBor-Luh Lin, editor
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1989]
210  4$d©1989
215   $a1 online resource (536 p.)
225 1 $aContemporary mathematics,$x0271-4132 ;$vvolume 85
300   $a"The Research Workshop on Banach Space Theory was held at the University of Iowa, Iowa City ... "--T.p. verso.
311   $a0-8218-5092-X 
320   $aIncludes bibliographies.
327   $a""Contents""; ""Preface""; ""Workshop Participants""; ""Titles of seminars given during the Workshop""; ""Isometries of James space""; ""Quasi-reflexive and tree spaces constructed in the spirit of R. C. James""; ""Projections onto block bases""; ""The Schroedera???Bernstein property for Banach spaces""; ""Rotund reflexive Orlicz spaces are fully convex""; ""Biorthogonal systems and big quotient spaces""; ""Analytic martingales and plurisubharmonic barriers in complex Banach spaces""; ""Existence and uniqueness of isometric preduals: A survey""; ""0. Introduction a??? Notation.""
327   $a""I. Applications of the Hahna???Banach theorem: some basic lemmas.""""II. Existence and uniqueness of preduals for a first family of ""smooth"" spaces.""; ""Ill. An alternative approach: the ball topology.""; ""IV. A critical example: the space L1.""; ""V. Uniqueness of preduals for a second family of spaces.""; ""VI. Stability properties of the class of unique preduals.""; ""VII. Automatic I??* a???continuity a??? Applications.""; ""VIII. More nona???trivial conditions for the existence or the characterization of the predual.""
327   $a""IX. Spaces which are not unique preduals and other counterexamples.""""X. Open problems.""; ""The ball topology and its applications""; ""On the closedness of the sum of closed operators on a UMD space""; ""Ultrapowers of rearrangement-invariant function spaces I""; ""KMP, RNP, and PCP for Banach spaces""; ""Independence in separable Banach spaces""; ""On the weak* -fixed point property""; ""Some geometrical and topological properties of the unit sphere in a normed linear space""; ""The I?»-function in Banach spaces""; ""Smooth functions in Orlicz spaces""
327   $a""Fefferman spaces and C* -algebras""""J H* has the PCP""; ""An analogue of the F. and M. Riesz theorem for spaces of differential functions""; ""Almost isometric methods in some isomorphic embedding problems""; ""Sub-simplexes of convex sets and some characterizations of simplexes with the RNP""; ""Some more remarkable properties of the James-tree space""; ""A note on the Lavrientiev index for the quasi-reflexive Banach spaces""; ""I??-independence in non separable Banach spaces""; ""The canonical injection for C([0, 1]) into L2,1 is not of cotype 2""
410  0$aContemporary mathematics (American Mathematical Society) ;$vv. 85.
606   $aBanach spaces$vCongresses
608   $aElectronic books.
615  0$aBanach spaces
676   $a515.7/32
702   $aLin$b Bor-Luh
712 02$aAmerican Mathematical Society,
712 12$aResearch Workshop on Banach Space Theory
801  0$bMiAaPQ
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906   $aBOOK
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996   $aBanach space theory$92053674
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