ABSTRACT
In this chapter, the spectrum and the fine spectrum of the Cesàro operator C1, the difference operator https://www.w3.org/1998/Math/MathML">Δ(1)https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003294153/97608605-4a8b-44f7-b217-ca384a248c13/content/math5_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>, the generalized difference operator https://www.w3.org/1998/Math/MathML">B(r,s)https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003294153/97608605-4a8b-44f7-b217-ca384a248c13/content/math5_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> and the operator generated by the triple band matrix https://www.w3.org/1998/Math/MathML">B(r,s,t)https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003294153/97608605-4a8b-44f7-b217-ca384a248c13/content/math5_3.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> acting on the sequence spaces c0, c, https://www.w3.org/1998/Math/MathML">ℓphttps://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003294153/97608605-4a8b-44f7-b217-ca384a248c13/content/math5_4.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> and https://www.w3.org/1998/Math/MathML">bvphttps://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003294153/97608605-4a8b-44f7-b217-ca384a248c13/content/math5_5.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> with respect to Goldberg's classification are determined, where https://www.w3.org/1998/Math/MathML">1≤p<∞https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003294153/97608605-4a8b-44f7-b217-ca384a248c13/content/math5_6.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>.
