Let BVp[0, 1], 1 ≤ p < ∞, be the Banach algebra of functions of bounded p-variation in the sense of Wiener. Recently, Kowalczyk and Turowska  proved that the multiplication in BV1[0, 1] is an open bilinear mapping. We extend this result for all values of p ∈ [1, ∞).
- Banach algebra of functions of bounded wiener p-variation
- Multiplication in a Banach algebra
- Open bilinear mapping