Abstract
In this paper, some results of the generalized difference operator B v ( m ) are studied. The Euler difference sequence spaces e 0 t ( B v ( m ) ) and e c t ( B v ( m ) ) are introduced. Furthermore, some functional properties, α -, β - and γ -duals of these sequence spaces are examined. Finally, the sets of the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the operator B v ( m ) on the space ℓ 1 are given.
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