Spectra of the Upper Triangular Double-Band Matrix △

Many authors have investigated the fine spectrum of the generalized difference operator on different
sequence spaces. Recently, spectra of the operator △ab on the sequence space bv₀ has been determined.
Our plan in this work is to get new results associated with the spectra of the operator △
ab
on the sequence
space bs by using the results in[4]. Moreover, the purpose of this work is to study a wider class of
operators on specific space which has not been covered before in the literature.
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