RT Journal Article
T1 Weak-Polynomial Convergence on a Banach Space
A1 Jaramillo Aguado, Jesús Ángel
A1 Prieto Yerro, M. Ángeles
AB 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.
PB American Mathematical Society
SN 0002-9939
YR 1993
FD 1993-06
LK https://hdl.handle.net/20.500.14352/57615
UL https://hdl.handle.net/20.500.14352/57615
LA eng
NO DGICYT
DS Docta Complutense
RD 9 abr 2025