Some Notes On The Fine Spectrum Of Quintet Band Matrix Operator Over c_0 And c

Abstract

In this work, we determine the fine spectrum of quintet band matrix operator G(r; s; t; u; v) over c_0 and c. The quintet band matrix G(r; s; t; u; v) is the general form of the matrices D(r; 0; s; 0; t),
4, Q(r; s; t; u),
3, D(r; 0; 0; s), B(r; s; t),
2, B(r; s),
, right shift and Zweier matrices, where
4, Q(r; s; t; u),
3, B(r; s; t),
2, B(r; s) and
are called fourth order difference, quadruple band, third order difference, triple band, second order difference, double band(generalized difference) and difference matrix, respectively.

Keywords

• Spectrum Of An Operator
• Resolvent Set
• Perturbed Operator
• Quintet Band Matrix
• Sequence Space

References

1. [1] A. M. Akhmedov and F. Başar, On the fine spectrum of the Cesáro operator in c0, Math. J. Ibaraki Univ. 36, 25–32, 2004.