On a Normal Form for Non-Weakly Sequentially Continuous Polynomials on Banach Spaces

Let p be an m-homogeneous polynomial on a complex Banach space,and let (x_n)n be a bounded sequence such that when evaluatedin polynomials of degree less than m, it converges to zero,but p(x_n = 1. It is proved here that there exists a basic sequence(y_k)k equivalent to a subsequence , for which . 2000 MathematicsSubject Classification 46B99.