Banach space theory : proceedings of a research workshop held July 5-25, 1987, with support from the National Science Foundation / / Bor-Luh Lin, editor

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1989]; ©1989
• Descrizione fisica: 1 online resource (536 p.)
• Disciplina: 515.7/32
• Soggetto topico: Banach spaces
• Persona (resp. second.): LinBor-Luh
• Note generali: "The Research Workshop on Banach Space Theory was held at the University of Iowa, Iowa City ... "--T.p. verso.
• Nota di bibliografia: Includes bibliographies.
• Nota di contenuto: ""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""
• Titolo autorizzato: Banach space theory
• ISBN: 0-8218-7673-2; 0-8218-5420-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788787103321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 85.