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Book DetailsContemporary MathematicsVolume: 85; 1989; 521 ppMSC: Primary 46;
This volume contains the proceedings from a Research Workshop on Banach Space Theory held at the University of Iowa in Iowa City in July 1987. The workshop provided participants with a collaborative working atmosphere in which ideas could be exchanged informally. Several papers were initiated during the workshop and are presented here in their final form. Also included are contributions from several experts who were unable to attend the workshop. None of the papers will be published elsewhere. During the workshop, two hours each day were devoted to seminars on current problems in such areas as weak Hilbert spaces, zonoids, analytic martingales, and operator theory, and these topics are reflected in some of the papers in the collection.

Table of Contents

Articles

Steven F. Bellenot — Isometries of James space [ MR 983378 ]

Steven F. Bellenot, Richard Haydon and Edward Odell — Quasireflexive and tree spaces constructed in the spirit of R. C. James [ MR 983379 ]

Peter G. Casazza — Projections onto block bases [ MR 983380 ]

Peter G. Casazza — The SchroederBernstein property for Banach spaces [ MR 983381 ]

Shu Tao Chen, BorLuh Lin and Xin Tai Yu — Rotund reflexive Orlicz spaces are fully convex [ MR 983382 ]

Catherine Finet and Gilles Godefroy — Biorthogonal systems and big quotient spaces [ MR 983383 ]

N. Ghoussoub, J. Lindenstrauss and B. Maurey — Analytic martingales and plurisubharmonic barriers in complex Banach spaces [ MR 983384 ]

Gilles Godefroy — Existence and uniqueness of isometric preduals: a survey [ MR 983385 ]

G. Godefroy and N. J. Kalton — The ball topology and its applications [ MR 983386 ]

Sylvie Guerre — On the closedness of the sum of closed operators of a UMD space [ MR 983387 ]

Richard Haydon and PeiKee Lin — Ultrapowers of rearrangementinvariant function spaces. I [ MR 983388 ]

R. C. James — KMP, RNP, and PCP for Banach spaces [ MR 983389 ]

N. J. Kalton — Independence in separable Banach spaces [ MR 983390 ]

M. A. Khamsi — On the weak$^*$fixed point property [ MR 983391 ]

BorLuh Lin, PeiKee Lin and S. L. Troyanski — Some geometric and topological properties of the unit sphere in a normed linear space [ MR 983392 ]

Robert H. Lohman — The $\lambda $function in Banach spaces [ MR 983393 ]

R. P. Maleev and S. L. Troyanski — Smooth functions in Orlicz spaces [ MR 983394 ]

Paul S. Muhly — Fefferman spaces and $C^*$algebras [ MR 983395 ]

E. Odell and C. S. Schumacher — $JH^*$ has the PCP [ MR 983396 ]

A. Pełczyński — An analogue of the F. and M. Riesz theorem for spaces of differentiable functions [ MR 983397 ]

Yves Raynaud — Almost isometric methods in some isomorphic embedding problems [ MR 983398 ]

Haskell Rosenthal — Subsimplexes of convex sets and some characterizations of simplexes with the RNP [ MR 983399 ]

Walter Schachermayer — Some more remarkable properties of the Jamestree space [ MR 983400 ]

A. Sersouri — A note of the Lavrentiev index for quasireflexive Banach spaces [ MR 983401 ]

Abderrazzak Sersouri — $\omega $independence in nonseparable Banach spaces [ MR 983402 ]

Michel Talagrand — The canonical injection from $C([0,1])$ into $L_{2,1}$ is not of cotype $2$ [ MR 983403 ]


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This volume contains the proceedings from a Research Workshop on Banach Space Theory held at the University of Iowa in Iowa City in July 1987. The workshop provided participants with a collaborative working atmosphere in which ideas could be exchanged informally. Several papers were initiated during the workshop and are presented here in their final form. Also included are contributions from several experts who were unable to attend the workshop. None of the papers will be published elsewhere. During the workshop, two hours each day were devoted to seminars on current problems in such areas as weak Hilbert spaces, zonoids, analytic martingales, and operator theory, and these topics are reflected in some of the papers in the collection.

Articles

Steven F. Bellenot — Isometries of James space [ MR 983378 ]

Steven F. Bellenot, Richard Haydon and Edward Odell — Quasireflexive and tree spaces constructed in the spirit of R. C. James [ MR 983379 ]

Peter G. Casazza — Projections onto block bases [ MR 983380 ]

Peter G. Casazza — The SchroederBernstein property for Banach spaces [ MR 983381 ]

Shu Tao Chen, BorLuh Lin and Xin Tai Yu — Rotund reflexive Orlicz spaces are fully convex [ MR 983382 ]

Catherine Finet and Gilles Godefroy — Biorthogonal systems and big quotient spaces [ MR 983383 ]

N. Ghoussoub, J. Lindenstrauss and B. Maurey — Analytic martingales and plurisubharmonic barriers in complex Banach spaces [ MR 983384 ]

Gilles Godefroy — Existence and uniqueness of isometric preduals: a survey [ MR 983385 ]

G. Godefroy and N. J. Kalton — The ball topology and its applications [ MR 983386 ]

Sylvie Guerre — On the closedness of the sum of closed operators of a UMD space [ MR 983387 ]

Richard Haydon and PeiKee Lin — Ultrapowers of rearrangementinvariant function spaces. I [ MR 983388 ]

R. C. James — KMP, RNP, and PCP for Banach spaces [ MR 983389 ]

N. J. Kalton — Independence in separable Banach spaces [ MR 983390 ]

M. A. Khamsi — On the weak$^*$fixed point property [ MR 983391 ]

BorLuh Lin, PeiKee Lin and S. L. Troyanski — Some geometric and topological properties of the unit sphere in a normed linear space [ MR 983392 ]

Robert H. Lohman — The $\lambda $function in Banach spaces [ MR 983393 ]

R. P. Maleev and S. L. Troyanski — Smooth functions in Orlicz spaces [ MR 983394 ]

Paul S. Muhly — Fefferman spaces and $C^*$algebras [ MR 983395 ]

E. Odell and C. S. Schumacher — $JH^*$ has the PCP [ MR 983396 ]

A. Pełczyński — An analogue of the F. and M. Riesz theorem for spaces of differentiable functions [ MR 983397 ]

Yves Raynaud — Almost isometric methods in some isomorphic embedding problems [ MR 983398 ]

Haskell Rosenthal — Subsimplexes of convex sets and some characterizations of simplexes with the RNP [ MR 983399 ]

Walter Schachermayer — Some more remarkable properties of the Jamestree space [ MR 983400 ]

A. Sersouri — A note of the Lavrentiev index for quasireflexive Banach spaces [ MR 983401 ]

Abderrazzak Sersouri — $\omega $independence in nonseparable Banach spaces [ MR 983402 ]

Michel Talagrand — The canonical injection from $C([0,1])$ into $L_{2,1}$ is not of cotype $2$ [ MR 983403 ]