# The Spectrum of the Opertator D(r, 0, 0, s) over the Sequence Spaces c0 and c

Tripathy, Binod Chandra;Paul, Avinoy

• Accepted : 2011.09.23
• Published : 2013.06.23
• 13 4

#### Abstract

In this paper we have examined the spectra of the operator D($r$, 0, 0, $s$) on sequence spaces $c_0$ and $c$.

#### Keywords

Spectra;resolvent operator;point spectrum;continuous spectrum;residual spectrum

#### References

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2. The spectrum of the operator $$D( r,0, s,0,t)$$ D ( r , 0 , s , 0 , t ) over the sequence spaces $$\ell _{p}$$ ℓ p and $$bv_{p}$$ b v p vol.26, pp.5-6, 2015, https://doi.org/10.1007/s13370-014-0268-5
3. On spectral properties of a new operator over sequence spaces c and c0 vol.34, pp.5, 2014, https://doi.org/10.1016/S0252-9602(14)60098-9

#### Acknowledgement

Supported by : Council of Scientific and Industrial Research, India