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

By:

Research Workshop on Banach Space Theory (1987 : University of Iowa)

Contributor(s):

Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 85.Publication details: Providence, R.I. : American Mathematical Society, c1989.Description: 1 online resource (xiv, 521 p.)ISBN:

9780821876732 (online)

Subject(s):

Banach spaces -- Congresses

Additional physical formats: Banach space theory :DDC classification:

515.7/32 19

LOC classification:

QA322.2 .R47 1987

Online resources:

Contents:

Isometries of James space / Steven F. Bellenot -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983378 Quasi-reflexive and tree spaces constructed in the spirit of R.\ C. James / Steven F. Bellenot, Richard Haydon and Edward Odell -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983379 Projections onto block bases / Peter G. Casazza -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983380 The Schroeder-Bernstein property for Banach spaces / Peter G. Casazza -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983381 Rotund reflexive Orlicz spaces are fully convex / Shu Tao Chen, Bor-Luh Lin and Xin Tai Yu -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983382 Biorthogonal systems and big quotient spaces / Catherine Finet and Gilles Godefroy -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983383 Analytic martingales and plurisubharmonic barriers in complex Banach spaces / N. Ghoussoub, J. Lindenstrauss and B. Maurey -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983384 Existence and uniqueness of isometric preduals: a survey / Gilles Godefroy -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983385 The ball topology and its applications / G. Godefroy and N. J. Kalton -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983386 On the closedness of the sum of closed operators of a UMD space / Sylvie Guerre -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983387 Ultrapowers of rearrangement-invariant function spaces. I / Richard Haydon and Pei-Kee Lin -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983388 KMP, RNP, and PCP for Banach spaces / R. C. James -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983389 Independence in separable Banach spaces / N. J. Kalton -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983390 On the weak$^*$-fixed point property / M. A. Khamsi -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983391 Some geometric and topological properties of the unit sphere in a normed linear space / Bor-Luh Lin, Pei-Kee Lin and S. L. Troyanski -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983392 The $\lambda $-function in Banach spaces / Robert H. Lohman -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983393 Smooth functions in Orlicz spaces / R. P. Maleev and S. L. Troyanski -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983394 Fefferman spaces and $C^*$-algebras / Paul S. Muhly -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983395 $JH^*$ has the PCP / E. Odell and C. S. Schumacher -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983396 An analogue of the F.\ and M.\ Riesz theorem for spaces of differentiable functions / A. Pe�czy�nski -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983397 Almost isometric methods in some isomorphic embedding problems / Yves Raynaud -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983398 Sub-simplexes of convex sets and some characterizations of simplexes with the RNP / Haskell Rosenthal -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983399 Some more remarkable properties of the James-tree space / Walter Schachermayer -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983400 A note of the Lavrentiev index for quasi-reflexive Banach spaces / A. Sersouri -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983401 $\omega $-independence in nonseparable Banach spaces / Abderrazzak Sersouri -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983402 The canonical injection from $C([0,1])$ into $L_{2,1}$ is not of cotype $2$ / Michel Talagrand -- http://www.ams.org/conm/085/ http://dx.doi.org/10.1090/conm/085/983403

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"The Research Workshop on Banach Space Theory was held at the University of Iowa, Iowa City ... "--T.p. verso.

Includes bibliographies.

Isometries of James space / Steven F. Bellenot -- Quasi-reflexive and tree spaces constructed in the spirit of R.\ C. James / Steven F. Bellenot, Richard Haydon and Edward Odell -- Projections onto block bases / Peter G. Casazza -- The Schroeder-Bernstein property for Banach spaces / Peter G. Casazza -- Rotund reflexive Orlicz spaces are fully convex / Shu Tao Chen, Bor-Luh Lin and Xin Tai Yu -- Biorthogonal systems and big quotient spaces / Catherine Finet and Gilles Godefroy -- Analytic martingales and plurisubharmonic barriers in complex Banach spaces / N. Ghoussoub, J. Lindenstrauss and B. Maurey -- Existence and uniqueness of isometric preduals: a survey / Gilles Godefroy -- The ball topology and its applications / G. Godefroy and N. J. Kalton -- On the closedness of the sum of closed operators of a UMD space / Sylvie Guerre -- Ultrapowers of rearrangement-invariant function spaces. I / Richard Haydon and Pei-Kee Lin -- KMP, RNP, and PCP for Banach spaces / R. C. James -- Independence in separable Banach spaces / N. J. Kalton -- On the weak$^*$-fixed point property / M. A. Khamsi -- Some geometric and topological properties of the unit sphere in a normed linear space / Bor-Luh Lin, Pei-Kee Lin and S. L. Troyanski -- The $\lambda $-function in Banach spaces / Robert H. Lohman -- Smooth functions in Orlicz spaces / R. P. Maleev and S. L. Troyanski -- Fefferman spaces and $C^*$-algebras / Paul S. Muhly -- $JH^*$ has the PCP / E. Odell and C. S. Schumacher -- An analogue of the F.\ and M.\ Riesz theorem for spaces of differentiable functions / A. Pe�czy�nski -- Almost isometric methods in some isomorphic embedding problems / Yves Raynaud -- Sub-simplexes of convex sets and some characterizations of simplexes with the RNP / Haskell Rosenthal -- Some more remarkable properties of the James-tree space / Walter Schachermayer -- A note of the Lavrentiev index for quasi-reflexive Banach spaces / A. Sersouri -- $\omega $-independence in nonseparable Banach spaces / Abderrazzak Sersouri -- The canonical injection from $C([0,1])$ into $L_{2,1}$ is not of cotype $2$ / Michel Talagrand --