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 Banach-valued 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.
Norm attaining operators in $L 1(\mu)$ by M. D. Acosta The Weyl-Browder spectrum of a multiplier by P. Aiena On polynomial approximation in the mean by J. Akeroyd and E. G. Saleeby A uniqueness theorem for normal functions of several complex variables by J. T. Anderson and J. A. Cima Separating maps on spaces of continuous functions by J. Araujo and K. Jarosz Hypercyclic differentiation operators by R. Aron and J. Bes On norms of composition operators on Hardy spaces by P. Avramidou and F. Jafari Stable ranks, $K$-groups and Witt groups of some Banach and $C^*$-algebras by C. Badea Locally constant almost everywhere Fourier transform by A. Bernard and G. Muraz The quaternionic Riemann problem by S. Bernstein Convolution by means of bilinear maps by O. Blasco On prime real $JB^*$-triples by C.-H. Chu, A. M. Galindo, and A. Rodriguez Palacios Compact-type operators defined on $H^\infty$ by M. D. Contreras and S. Diaz-Madrigal On the extensibility of certain homeomorphisms and linear isometries by S. J. Dilworth The fixed point property for subsets of $L 1[0,1]$ by P. N. Dowling Strong regularity for uniform algebras by J. F. Feinstein and D. W. B. Somerset High order smoothness in sequence spaces and spreading models by R. Gonzalo and J. A. Jaramillo A survey of closed ideals in familiar function algebras by P. Gorkin and R. Mortini Subalgebras of commutative Banach algebras and Fourier multipliers with natural spectra by O. Hatori Bergman kernels and Hankel forms on generalized Fock spaces by F. Holland and R. Rochberg When is a linear functional multiplicative? by K. Jarosz A remark on Banach spaces isomorphic to their squares by N. J. Kalton Sobolev spaces and projections of holomorphic functions and mappings by S. G. Krantz and M. M. Peloso Universal functions on the unit ball and the polydisk by F. Leon-Saavedra On commutative $C^*$-algebras in which every element is almost the square of another by T. Miura Some special bounded homomorphisms of a uniform algebra by T. Nakazi Analytic functional models for operators on Banach spaces by M. M. Neumann Injective isometries in Orlicz spaces by B. Randrianantoanina Continuity of homomorphisms and derivations on Banach algebras with an involution by A. Rodriguez-Palacios and M. V. Velasco A Volterra type operator on spaces of analytic functions by A. G. Siskakis and R. Zhao Algebraic properties of Toeplitz operators on the Hardy space via the Berezin transform by K. Stroethoff Multiplication and composition operators between two $L^p$-spaces by H. Takagi and K. Yokouchi Bourgain algebras and inductive limit algebras by T. Tonev A note on averaging operators by A. Triki Problems on isometries of non-commutative $L^p$-spaces by K. Watanabe Multiplicative polynomial operators on topological algebras by A. Zagorodnyuk.