On statistically Köthe-Toeplitz duals

İngilizce (OpenAlex)

In the present paper, we introduce the concept of mstatistical boundedness of real (or complex) numbers sequences by using generalized difference operator m and examine relationships between mstatistical convergence, mstatistical Cauchiness and mstatistical boundedness. In addition to that we compute the Kthe-Toeplitz and generalized Kthe-Toeplitz duals of the set of all mstatistical bounded sequences. Moreover, we come up with the idea of statistical and duals of the sets of sequence which makes us capable of creating statistical equivalents of the notions of normality and perfectness of sequence spaces.