Dominated, diagonal polynomials on ℓp spaces
- Cite this article as:
- Cilia, R. & Gutiérrez, J.M. Arch. Math. (2005) 84: 421. doi:10.1007/s00013-005-1194-4
- 41 Views
We show that the r-dominated polynomials on ℓp(2 ≦ p ≦ ∞) are integral on ℓ1, and give examples proving that the converse is not true. We characterize when the 2-homogeneous, diagonal polynomials on ℓp(1 < p ≦ ∞) are r-dominated. We prove that, unlike the linear case, there are nuclear polynomials which are not 1-dominated.