Spectrum and Fine Spectrum of the Lower Triangular Matrix B(r,0, s) over the Sequence Space cs

Authors

Binod Chandra Tripathy, Mathematical Sciences Division; Institute of Advanced Study in Science and Technology, Guwahati, Assam, India.Follow
Rituparna Das, Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim, India.Follow

Author Country (or Countries)

India.

Abstract

Fine spectra of various matrix operators on different sequence spaces have been examined by several authors. Recently, some authors have determined the approximate point spectrum, the defect spectrum and the compression spectrum of various matrix operators on different sequence spaces. Here in this article we have determined the spectrum and fine spectrum of the lower triangular matrix B(r,0, s) on the sequence space cs. In a further development, we have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator B(r,0, s) on the sequence space cs.

Recommended Citation

Chandra Tripathy, Binod and Das, Rituparna (2015) "Spectrum and Fine Spectrum of the Lower Triangular Matrix B(r,0, s) over the Sequence Space cs," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 53.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/53