When is the range of a normal operator invariant? (Q810845)
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: When is the range of a normal operator invariant? |
scientific article; zbMATH DE number 4214759
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | When is the range of a normal operator invariant? |
scientific article; zbMATH DE number 4214759 |
Statements
When is the range of a normal operator invariant? (English)
0 references
1991
0 references
The author shows that if a set S of operators on a Hilbert space H leave invariant the ranges of the spectral projections associated with a certain sequence of subsets of the spectrum of a normal operator N on H, then S leaves the range of N invariant. This generalizes an earlier result due to \textit{C. Peligrad} [A remark on invariant operator ranges, Integral Equations Oper. Theory 13, 145-147 (1990)].
0 references
invariant operator range
0 references
spectral projections
0 references
normal operator
0 references
0.7437137961387634
0 references
0.7419465780258179
0 references
