Commuting boundedly decomposable perturbations
type: Item
instance of: scholarly article
title: Commuting boundedly decomposable perturbations
zbMATH Open document ID: 0713.47009
DOI: 10.1016/0022-247X(90)90420-K
author: Ridgley Lange
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: \textit{C. Apostol} has proved [Rev. Roum. Math. Pures Appl. 13, 1481-1528 (1968; Zbl 0176.437)] that the perturbation of a decomposable operator by a commuting spectral operator is again decomposable. The author generalizes this result by showing that the sum of a decomposable and a commuting boundedly decomposable operator is also decomposable. An example proves this generalization to be nontrivial.
reviewed by: S.D.Karakozov
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47B40
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 4173700
zbMATH Keywords: perturbation of a decomposable operator by a commuting spectral operator
zbMATH Keywords: the sum of a decomposable and a commuting boundedly decomposable operator is also decomposable
MaRDI profile type: Publication
cites work: Q4402887
cites work: Q5568730
cites work: Q5584224
cites work: Q4164422
cites work: Spectral operators
cites work: Q5654646
cites work: Q3699467
cites work: Q3341440
cites work: On generalization of decomposability
cites work: On equivalence of decomposable and 2-decomposable operators
full work available at URL: 0022-247x(90)90420-k
OpenAlex ID: W2133685370
description: scientific article; zbMATH DE number 4173700