Contemporary Mathematics 2003; 322 pp; softcover Volume: 328 ISBN10: 0821832697 ISBN13: 9780821832691 List Price: US$92 Member Price: US$73.60 Order Code: CONM/328
 This volume presents papers from the Fourth Conference on Function Spaces. The conference brought together mathematicians interested in various problems within the general area of function spaces, allowing for discussion and exchange of ideas on those problems and related questions. The lectures covered a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), \(L^p\)spaces, spaces of Banachvalued functions, isometries of function spaces, geometry of Banach spaces, and related subjects. Included are 26 articles written by leading experts. Known results, open problems, and new discoveries are featured. Most papers are written for nonexperts, so the book can serve as a good introduction to the material presented. Readership Graduate students and research mathematicians interested in functional analysis. Table of Contents  P. Aiena and F. Villafañe  Components of resolvent sets and local spectral theory
 J. R. Akeroyd  The FejérRiesz inequality and the index of the shift
 J. T. Anderson and J. Wermer  A CauchyGreen formula on the unit sphere in \(\mathbf{C}^2\)
 H. Arizmendi, A. Carrillo, and L. Palacios  On \(\alpha\)dual algebras
 R. M. Aron and M. Maestre  A connected metric space that is not separably connected
 P. Bandyopadhyay and S. Dutta  Weighted Chebyshev centres and intersection properties of balls in Banach spaces
 P. Beneker and J. Wiegerinck  The boundary of the unit ball in \(H^1\)type spaces
 D. P. Blecher and D. M. Hay  Complete isometries  an illustration of noncommutative functional analysis
 K. Boulabiar, G. Buskes, and A. Triki  Some recent trends and advances in certain lattice ordered algebras
 E. Briem  An extension of a theorem of Wermer, Bernard, Sidney and Hatori to algebras of functions on locally compact spaces
 Q. Bu  Some mapping properties of \(p\)summing operators with Hilbertian domain
 A. Curnock, J. Howroyd, and N.C. Wong  The unique decomposition property and the BanachStone theorem
 T. Dawson  A survey of algebraic extensions of commutative, unital normed algebras
 P. N. Dowling, C. J. Lennard, and B. Turett  Some more examples of subsets of \(c_0\) and \(L^1[0,1]\) failing the fixed point property
 P. Gorkin, R. Mortini, and D. Suárez  Homotopic composition operators on \(H^\infty(B^n)\)
 J. J. Grobler and M. De Kock  Characterization of conditional expectation in terms of positive projections
 M. Haralampidou  The Krull nature of locally \(C^*\)algebras
 O. Hatori, T. Ishii, T. Miura, and S.E. Takahasi  Characterizations and automatic linearity for ring homomorphisms on algebras of functions
 H. Jarchow and U. Kollbrunner  Carleson embeddings for weighted Bergman spaces
 K. Jarosz and T. S. S. R. Rao  Weak\(^{\ast}\)extreme points of injective tensor product spaces
 K.T. Kim and S. G. Krantz  Determining sets and fixed points for holomorphic endomorphisms
 T. L. Miller, V. G. Miller, and M. M. Neumann  Localization in the spectral theory of operators on Banach spaces
 V. Runde  Abstract harmonic analysis, homological algebra, and operator spaces
 D. Sherman  Relative tensor products for modules over von Neumann algebras
 S. J. Sidney  Uniform algebras generated by unimodular functions
 T. Tonev and S. A. Grigoryan  Analytic functions on compact groups and their applications to almost periodic functions
