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oai:docta.ucm.es:20.500.14352/576152023-08-28T04:37:51Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Jaramillo Aguado, Jesús Ángel author Prieto Yerro, M. Ángeles author 1993-06 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. 0002-9939 10.2307/2160323 https://hdl.handle.net/20.500.14352/57615 http://www.ams.org/ Weak-Polynomial Convergence on a Banach Space