TY - JOUR ID - Wang2010 LB - Wang2010 AU - Wang, Jincai AU - Wu, Chunyan TI - On a property of ϕ-variational modular spaces ST - On a property of ϕ-variational modular spaces JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2010 VL - 30 IS - 2 SP - 209 EP - 215 DO - http://dx.doi.org/10.7494/OpMath.2010.30.2.209 UR - http://dx.doi.org/10.7494/OpMath.2010.30.2.209 AB - 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. KW - condition (B.1) KW - modular KW - \(\phi\) -function KW - \(\phi\) -variation SN - 1232-9274 ER -