%0 Journal Article
%A Jaramillo Aguado, Jesús Ángel
%A Prieto Yerro, M. Ángeles
%T Weak-Polynomial Convergence on a Banach Space
%D 1993
%@ 0002-9939
%U https://hdl.handle.net/20.500.14352/57615
%X We show that any super-reflexive Banach space is a LAMBDA-space (i.e., the weak-polynomial convergence for sequences implies the norm convergence). We introduce the notion Of kappa-space (i.e., a Banach space where the weak-polynomial convergence for sequences is different from the weak convergence) and we prove that if a dual Banach space Z is a kappa-space with the approximation property, then the uniform algebra A(B) on the unit ball of Z generated by the weak-star continuous polynomials is not tight.
%~