On The Spectrum of the Matrix Operator A = (ank) on Hahn Sequence Space h

Kawa, Maria and Tuğ, Orhan (2022) On The Spectrum of the Matrix Operator A = (ank) on Hahn Sequence Space h. Eurasian Journal of Science and Engineering, 8 (3).

Text (Research Article) MKOT-23-Fine-Spectrum-of-a-Matrix-operator-on-Hahn-sequence-space.pdf - Published Version Download (145kB)

Abstract

In this paper, first we define a matrix operator A = (a nk ) by an,k={ 1/2(k=n, n-1)~(n=0,1,2….) 0 otherwise, and we show that A = (a nk ) is a linear and bounded operator on Hahn sequence space h. Then we calculate the fine spectrum of matrix operator A = (a nk ) on the Hahn sequence space h. We also determine the point spectrum, the residual spectrum and continuous spectrum of matrix operator A = (a nk ) on Hahn sequence space h.

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