Article ID Journal Published Year Pages File Type
4591634 Journal of Functional Analysis 2008 18 Pages PDF
Abstract

We give a spectral condition which is sufficient for the simultaneous diagonalization of a commuting tuple of self-adjoint operators modulo a given norm ideal. For diagonalization modulo certain norm ideals this condition is also necessary, while for other norm ideals this condition seems to be close to being necessary. Moreover, this condition is easy to verify in applications.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory