On the structure of polynomially compact operators (Q1818766)
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 the structure of polynomially compact operators |
scientific article; zbMATH DE number 1384387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of polynomially compact operators |
scientific article; zbMATH DE number 1384387 |
Statements
On the structure of polynomially compact operators (English)
0 references
10 April 2000
0 references
If \(T\) is a polynomially compact operator on a separable Hilbert space then \(T\) is decomposed into the finite direct sum \[ T= \bigoplus^n_{i=1} (N_i+ K_i+\lambda_i I), \] where \(N_i\) are nilpotents, the \(K_i\) are compact, and the set \(\{\lambda_1,\dots, \lambda_n\}\) is the Weyl spectrum of \(T\).
0 references
polynomially compact operator
0 references
Weyl spectrum
0 references
