Matrix Domains in Sequence Spaces
Pp. 51-192 (142)
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.
Domain of an infinite 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.