On the structure of polynomially compact operators
type: Item
instance of: scholarly article
title: On the structure of polynomially compact operators
zbMATH Open document ID: 0935.47020
author: Young Min Han
author: Sang Hoon Lee
author: Woo Young Lee
published in: Mathematische Zeitschrift
publication date: 2000-04-10T00:00:00Z
review text: 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 \(T\).
reviewed by: Woo Young Lee
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 47B07
zbMATH DE Number: 1384387
zbMATH Keywords: polynomially compact operator
zbMATH Keywords: Weyl spectrum
MaRDI profile type: Publication
full work available at URL: s002090050513
OpenAlex ID: W2027490146
DOI: 10.1007/S002090050513
description: scientific article; zbMATH DE number 1384387