Jabr Aljedani

Telephone sequence spaces and associated theory of matrix transformation and compactness

Given a non-negative integer k, T_k be the k^{th} telephone number. Let us define a matrix T=( T_{k,m} ) with entries for k,m=0,1,2,⋯. Based on T, the matrix domains T_0 and T_c are defined. Schauder bases are constructed for these spaces, and their α-, β-, and γ-duals are charac...