Akbarbaglu, IbrahimMaghsoudi, SaeidSeoane-Sepúlveda, Juan B.2023-06-192023-06-192013-10-010022-247X10.1016/j.jmaa.2013.04.051https://hdl.handle.net/20.500.14352/33333Let G be a non-compact locally compact group. In this paper we study the size of the set {(f, g) is an element of A x B : f * g is well-defined on G} where A and B are normed spaces of continuous functions on G. We also consider the problem of the spaceability of the set (C-0 (G) boolean AND (C-0(G) * C-0(G))) \ C-00 (G) and (among other results) we show that, for G = R-n, the above set is strongly c-algebrable (and, therefore, algebrable and lineable) with respect to the convolution product.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022247X13003727http://www.sciencedirect.com/restricted access512Continuous functionsigma-c-lower porous setLocally compact groupConvolutionLineabilitySpaceabilityAlgebrabilityÁlgebra1201 Álgebra