04121nam 2200589 450 991081882540332120170814182219.00-8218-7673-20-8218-5420-8(CKB)3240000000069612(EBL)3112960(SSID)ssj0000629253(PQKBManifestationID)11412261(PQKBTitleCode)TC0000629253(PQKBWorkID)10731107(PQKB)10404763(MiAaPQ)EBC3112960(RPAM)3384691(PPN)197104061(EXLCZ)99324000000006961219881104h19891989 uy| 0engur|n|---|||||txtccrBanach space theory proceedings of a research workshop held July 5-25, 1987, with support from the National Science Foundation /Bor-Luh Lin, editorProvidence, Rhode Island :American Mathematical Society,[1989]©19891 online resource (536 p.)Contemporary mathematics,0271-4132 ;volume 85"The Research Workshop on Banach Space Theory was held at the University of Iowa, Iowa City ... "--T.p. verso.0-8218-5092-X Includes bibliographies.""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 Schroederâ€?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 â€? Notation.""""I. Applications of the Hahnâ€?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 Ï?* â€?continuity â€? Applications.""; ""VIII. More nonâ€?trivial conditions for the existence or the characterization of the predual.""""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 λ-function in Banach spaces""; ""Smooth functions in Orlicz spaces""""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""; ""Ï?-independence in non separable Banach spaces""; ""The canonical injection for C([0, 1]) into L2,1 is not of cotype 2""Contemporary mathematics (American Mathematical Society) ;v. 85.Banach spacesCongressesBanach spaces515.7/32Lin Bor-LuhAmerican Mathematical Society,Research Workshop on Banach Space TheoryMiAaPQMiAaPQMiAaPQBOOK9910818825403321Banach space theory4030282UNINA