Banach Space Theory: Proceedings of a Research Workshop Held July 5-25, 1987, with Support from the National Science Foundation

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American Mathematical Soc., 1989 - Mathematics - 521 pages
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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.
 

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Contents

Isometries of James space
1
Quasireflexive and tree spaces constructed in the spirit of R C James
19
Projections onto block bases
45
The SchroederBernstein property for Banach spaces
61
Rotund reflexive Orlicz spaces are fully convex
79
Biorthogonal systems and big quotient spaces
87
Analytic martingales and plurisubharmonic barriers in complex Banach spaces
111
A survey
131
Some geometrical and topological properties of the unit sphere in a normed linear space
339
The λfunction in Banach spaces
345
Smooth functions in Orlicz spaces
355
Fefferman spaces and C algebras
371
J H has the PCP
387
An analogue of the F and M Riesz theorem for spaces of differential functions
405
Almost isometric methods in some isomorphic embedding problems
427
Subsimplexes of convex sets and some characterizations of simplexes with the RNP
447

The ball topology and its applications
195
On the closedness of the sum of closed operators on a UMD space
239
Ultrapowers of rearrangementinvariant function spaces I
253
KMP RNP and PCP for Banach spaces
281
Independence in separable Banach spaces
319
On the weak fixed point property
325
Some more remarkable properties of the Jamestree space
465
A note on the Lavrientiev index for the quasireflexive Banach spaces
497
ωindependence in non separable Banach spaces
509
The canonical injection for C0 1 into L21 is not of cotype 2
513
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