Contemporary Mathematics 1999; 361 pp; softcover Volume: 232 ISBN10: 0821809393 ISBN13: 9780821809396 List Price: US$93 Member Price: US$74.40 Order Code: CONM/232
 This proceedings volume presents 36 papers given by leading experts during the Third Conference on Function Spaces held at Southern Illinois University at Edwardsville. A wide range of topics in the subject area are covered. Most papers are written for nonexperts, so the book can serve as a good introduction to the topic for those interested in this area. The book presents the following broad range of topics, including spaces and algebras of analytic functions of one and of many variables, \(L^p\) spaces, spaces of Banachvalued functions, isometries of function spaces, geometry of Banach spaces and related subjects. Known results, open problems, and new discoveries are featured. At the time of publication, information about the book, the conference, and a list and pictures of contributors are available on the Web at www.siue.edu/MATH/conference.htm. Readership Graduate students and research mathematicians interested in functional analysis. Reviews "A very nice collection of short surveytype articles mixed with research articles."  Monatshefte für Mathematik Table of Contents  M. D. Acosta  Norm attaining operators in \(L_1(\mu)\)
 P. Aiena  The WeylBrowder spectrum of a multiplier
 J. Akeroyd and E. G. Saleeby  On polynomial approximation in the mean
 J. T. Anderson and J. A. Cima  A uniqueness theorem for normal functions of several complex variables
 J. Araujo and K. Jarosz  Separating maps on spaces of continuous functions
 R. Aron and J. Bés  Hypercyclic differentiation operators
 P. Avramidou and F. Jafari  On norms of composition operators on Hardy spaces
 C. Badea  Stable ranks, \(K\)groups and Witt groups of some Banach and \(C^*\)algebras
 A. Bernard and G. Muraz  Locally constant almost everywhere Fourier transform
 S. Bernstein  The quaternionic Riemann problem
 O. Blasco  Convolution by means of bilinear maps
 C.H. Chu, A. M. Galindo, and A. Rodríguez Palacios  On prime real \(JB^*\)triples
 M. D. Contreras and S. DíazMadrigal  Compacttype operators defined on \(H^\infty\)
 S. J. Dilworth  On the extensibility of certain homeomorphisms and linear isometries
 P. N. Dowling  The fixed point property for subsets of \(L_1[0,1]\)
 J. F. Feinstein and D. W. B. Somerset  Strong regularity for uniform algebras
 R. Gonzalo and J. A. Jaramillo  High order smoothness in sequence spaces and spreading models
 P. Gorkin and R. Mortini  A survey of closed ideals in familiar function algebras
 O. Hatori  Subalgebras of commutative Banach algebras and Fourier multipliers with natural spectra
 F. Holland and R. Rochberg  Bergman kernels and Hankel forms on generalized Fock spaces
 K. Jarosz  When is a linear functional multiplicative?
 N. J. Kalton  A remark on Banach spaces isomorphic to their squares
 S. G. Krantz and M. M. Peloso  Sobolev spaces and projections of holomorphic functions and mappings
 F. LeónSaavedra  Universal functions on the unit ball and the polydisk
 T. Miura  On commutative \(C^*\)algebras in which every element is almost the square of another
 T. Nakazi  Some special bounded homomorphisms of a uniform algebra
 M. M. Neumann  Analytic functional models for operators on Banach spaces
 B. Randrianantoanina  Injective isometries in Orlicz spaces
 A. RodríguezPalacios and M. V. Velasco  Continuity of homomorphisms and derivations on Banach algebras with an involution
 A. G. Siskakis and R. Zhao  A Volterra type operator on spaces of analytic functions
 K. Stroethoff  Algebraic properties of Toeplitz operators on the Hardy space via the Berezin transform
 H. Takagi and K. Yokouchi  Multiplication and composition operators between two \(L^p\)spaces
 T. Tonev  Bourgain algebras and inductive limit algebras
 A. Triki  A note on averaging operators
 K. Watanabe  Problems on isometries of noncommutative \(L^p\)spaces
 A. Zagorodnyuk  Multiplicative polynomial operators on topological algebras
