, Volume 78, Issue 1, pp 99-110

Spectral invariance for algebras of pseudodifferential operators on besov-triebel-lizorkin spaces

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Abstract

The algebra of pseudodifferential operators with symbols inS 1,δ 0 , δ<1, is shown to be a spectrally invariant subalgebra of ℒ(b p,q s ) and ℒ(F p,q s ).

The spectrum of each of these pseudodifferential operators acting onB p,q s orF p,q s is independent of the choice ofs, p, andq.