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Function Spaces
Edited by: Krzysztof Jarosz, Southern Illinois University, Edwardsville, IL
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Contemporary Mathematics
2003; 322 pp; softcover
Volume: 328
ISBN-10: 0-8218-3269-7
ISBN-13: 978-0-8218-3269-1
List Price: US$87
Member Price: US$69.60
Order Code: CONM/328
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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 Banach-valued 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 Fejér-Riesz inequality and the index of the shift
  • J. T. Anderson and J. Wermer -- A Cauchy-Green 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 Banach-Stone 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
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