Abstract. In this work, we discuss various kinds of ℐ₂-uniform convergence for double sequences of functions and introduce the concepts of ℐ₂ and ℐ 2 ∗ -uniform convergence, ℐ₂-uniformly Cauchy ...

In this paper we give a characterization of pointwise and uniform convergence of sequences of homogeneous polynomials on a Banach space by means of the convergence of their level sets. Results are ...