Multiplication is an open bilinear mapping in the Banach algebra of functions of bounded Wiener p-variation
Let $BV_p[0,1]$, $1\le p<\infty$, be the Banach algebra of functions of bounded $p$-variation in the sense of Wiener. Recently, Kowalczyk and Turowska \cite{KT19} proved that the multiplication in $BV_1[0,1]$ is an open bilinear mapping. We extend this result for all values of $p\in[1,\infty)$.
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Functional Analysis
Classical Analysis and ODEs
