On the Equivalence of Spectra of Linear Partial Differential Operators in Certain Function Spaces

For linear differential operators with coefficients of class C on ℝn, we prove theorems on the simultaneous invertibility and equivalence of spectra in the Lebesgue space Lp, Stepanov space Mp, and in a particular Banach space Vp⊂ Lp, p ≥ 1