Norm closure of classical pseudodifferential operators does not contain Hörmander's class

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dc.creatorMelo, Severino T.
dc.date2003-12-12
dc.date.accessioned2026-07-07T05:03:52Z
dc.date.available2026-07-07T05:03:52Z
dc.descriptionThe L2-norm closure of the algebra of all zero-order classical (or polyhomogeneous) pseudodifferential operators on a closed manifold $X$ is proven not to contain Hörmander's class $Ψ^0(X)$. A set of generators (for that closed algebra) smaller than all zero-order classical pseudos is also described.
dc.identifierhttps://arxiv.org/abs/math/0312261
dc.identifierhttp://arxiv.org/abs/math/0312261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69587
dc.subjectOperator Algebras
dc.subjectAnalysis of PDEs
dc.subject35S05;58J40;47G30
dc.titleNorm closure of classical pseudodifferential operators does not contain Hörmander's class
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