Presenting the proceedings from the Second Conference on Function Spaces, this work details known results and fresh discoveries on a wide range of topics concerning function spaces. It covers advances in areas such as spaces and algebras of analytic functions, Lp-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.
Table of Contents
Two constant theorems for hardy spaces in several variables; on locally convex algebras with cyclic bases; some remarks on norm-attaining n-linear forms; on uniformly closed ideals in f-algebras; a strong superdensity property for some subspaces of C(X); ultraseparating function spaces, operating functions, and spaces of continuous functions whose nth powers span a dense subspace of C(X); small-bound isomorphisms of function spaces; amenability, weak amenability and the close homomorphism property for commutative Banach algebras; Kadec-Klee properties for L(Ip,Iq); regular retractions onto finite dimensional convex sets; contractive projections on Lebesgue-Bochner spaces; some measures of convexity in Banach spaces; regularity conditions for Banach function algebras; some Bargmann spaces of analytic functions; characters of function algebras on Banach spaces; on the Corona theorem; spectral synthesis of ideals in classical algebras of smooth functions; a characterization of lacunary sets and spectral properties of fourier multipliers; on the extremal structure of the unit ball of the space C(K,X); on certain Banach algebras of vector-valued functions; weighted spaces of holomorphic functions and analytic functionals. (Part Contents).