On operators almost commuting with respect to order (Q1200390)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On operators almost commuting with respect to order |
scientific article; zbMATH DE number 95236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On operators almost commuting with respect to order |
scientific article; zbMATH DE number 95236 |
Statements
On operators almost commuting with respect to order (English)
0 references
16 January 1993
0 references
The author announces a theorem of the following character: Let \(T\) be a selfadjoint operator on a separable Hilbert space and let \(R\) be another operator, such that the commutator \([T,R]\) is ``small'' in a certain sense. Then there exists a pair of commuting operators \(\{H,B\}\), \(H=H^*\), which is ``close'' to the pair \(\{T,R\}\) (i.e. the differences \(T-H\) and \(B-R\) are small).
0 references
selfadjoint operator
0 references
commutator
0 references
differences
0 references
