@Article{Wang2010, author = "Wang, Jincai and Wu, Chunyan", title = "On a property of ϕ-variational modular spaces", journal = "Opuscula Math.", year = "2010", volume = "30", number = "2", pages = "209--215", doi = "http://dx.doi.org/10.7494/OpMath.2010.30.2.209", url = "http://dx.doi.org/10.7494/OpMath.2010.30.2.209", abstract = "Maligranda pointed out whether condition (B.1) is satisfied in the variational modular space \(X_{\rho}^{*}\) is an open problem. We will answer this open problem in \(X_{\rho}^{*\prime}\), a subspace of \(X_{\rho}^{*}\). As a consequence this modular space can \(X_{\rho}^{*\prime}\) be \(F\)-normed.", keywords = "condition (B.1), modular, \(\phi\) -function, \(\phi\) -variation", issn = "1232-9274" }