Spectra of the Upper Triangular Double-Band Matrix △

Spectrum, Infinite matrices, Sequence spaces

Authors

July 27, 2025

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.