Some new double sequence spaces in 2-normed spaces defined by two valued measure

Document Type: Regular Paper


Department of Mathematics, Istanbul Commerce University, Uskudar, Istanbul, Turkey


In this paper, following the methods of Connor, we introduce some new generalized double difference sequence
spaces using summability with respect to a two valued measure, double infinite matrix and an Orlicz function in 2-normed spaces which have unique non-linear structure and examine some of their properties.