Norm closure of classical pseudodifferential operators does not contain H\"ormander's class
Operator Algebras
2007-05-23 v1 Analysis of PDEs
Abstract
The L2-norm closure of the algebra of all zero-order classical (or polyhomogeneous) pseudodifferential operators on a closed manifold is proven not to contain H\"ormander's class . A set of generators (for that closed algebra) smaller than all zero-order classical pseudos is also described.
Cite
@article{arxiv.math/0312261,
title = {Norm closure of classical pseudodifferential operators does not contain H\"ormander's class},
author = {Severino T. Melo},
journal= {arXiv preprint arXiv:math/0312261},
year = {2007}
}