The duals of certain matrix domains of factorable triangles and some related visualisations

Abstract

This paper presents a connection between some new results from the theory of sequence spaces in functional analysis and computer science, with an application to physical chemistry and crystallography. We determine the ?-duals of the matrix domains of factorable triangles in the spaces of strongly C1 summable and bounded sequences, with index p. Furthermore we apply our results to crystallography, in particular, to determine the shape of Wulff's crystals which, in some cases, can be considered as neighbourhoods in certain metrizable topologies. Finally we use our own software for the graphical representations of some of the crystals.