This chapter is devoted to the domains of some particular summability matrices,
with a special emphasize on the Cesàro, difference, mth-order difference,
Euler, Riesz and weighted mean sequence spaces, and other spaces derived in this
way. Also, the Schauder bases of those spaces, their α-,fi β-, γ- duals, and the
characterizations of some matrix transformations are given.
Keywords: Domain of an infi nite matrix, Cesàro, difference, Euler, Riesz, generalized
difference and weighted mean sequence spaces and concerning dual methods,
space of p-bounded variation sequences, Schauder bases, α-, β-, γ- duals of a
matrix domain, characterization of the matrix transformations related to the matrix
domains, paranormed difference sequence spaces and moduli, Orlicz functions.
