Banach Spaces

by Lin, Bor-Luh; Johnson, William B.

• ISBN13: 9780821851579
• ISBN10: 0821851578
• Format: Paperback
• Copyright: 1993-06-01
• Publisher: Amer Mathematical Society

Summary

This volume contains the proceedings of the International Workshop on Banach Space Theory, held at the Universidad de Los Andes in Merida, Venezuela in January 1992. These refereed papers contain the newest results in Banach space theory, real or complex function spaces, and nonlinear functional analysis. There are several excellent survey papers, including ones on homogeneous Banach spaces and applications of probability inequalities, in addition to an important research paper on the distortion problem. This volume is notable for the breadth of the mathematics presented.

Table of Contents

An application of Singer's theorem to homogeneous polynomials

A ${\scr l}_1$-predual which is not isometric to a quotient of $C(\alpha )$

Boundaries for algebras of analytic functions on infinite dimensional Banach spaces

Multipliers on weighted Besov spaces of analytic functions

Some questions arising from the homogeneous Banach space problem

Some probabilistic inequalities with applications to functional analysis

Bochner vs. Pettis norm: examples and results

Extremal structure of the unit ball of $C(K,X)$

Random products of nonexpansive mappings in spaces with the Opial property

Polynomial Schur and polynomial Dunford-Pettis properties

On embeddings of function spaces into $L^p+L^q$

On Auerbach bases

Renorming Banach spaces with fundamental biorthogonal system

Quantitative estimates on random subspaces which miss arbitrary measurable sets on the sphere

Three-space problem for the asymptotic-norming property of Banach spaces

Isometries of Block spaces

Property $(\beta )$ and Edelstein's algorithms for constructing nearest and farthest points

$p$-Hilbertian subsequences in ${\scr l}_1(X)$

Some geometrical properties of Banach spaces related to nearly uniform convexity

Asymptotic $l_p$ spaces and bounded distortions

On Schreier unconditional sequences

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