Hyperinvariant subspaces of \(C_0\)-operators over a multiply connected region
type: Item
instance of: scholarly article
title: Hyperinvariant subspaces of \(C_0\)-operators over a multiply connected region
zbMATH Open document ID: 0953.47007
DOI: 10.1007/BF01202098
author: Vittorino Pata
author: Adele Zucchi
published in: Integral Equations and Operator Theory
publication date: 2000-05-07T00:00:00Z
review text: Let \(T\) be an operator of class \(C_0\) over a multiply connected domain and let \(T'\) be its Jordan model. The paper shows that the lattice of hyperinvariant subspaces of \(T'\) can be identified with a retract of the lattice of hyperinvariant subspaces of \(T\). Consequently, the Jordan model has the smallest lattice of hyperinvariant subspaces in a given quasisimilarity class.
Mathematics Subject Classification ID: 47A45
Mathematics Subject Classification ID: 47A15
Mathematics Subject Classification ID: 47A65
Mathematics Subject Classification ID: 47A60
Mathematics Subject Classification ID: 30D55
zbMATH DE Number: 1439999
zbMATH Keywords: operator of class \(C_0\)
zbMATH Keywords: Jordan model
zbMATH Keywords: hyperinvariant subspaces
zbMATH Keywords: quasisimilarity class
reviewed by: Kehe Zhu
MaRDI profile type: Publication
cites work: Q3884662
cites work: Q4040150
cites work: Generalized interpolation in a multiply connected region
cites work: Q4750081
cites work: Q4529399
cites work: Q5513427
cites work: Analytic Functions of Class H p
cites work: Operators of class 𝐶₀ with spectra in multiply connected regions
full work available at URL: https://doi.org/10.1007/bf01202098
OpenAlex ID: W2062075386
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description: scientific article; zbMATH DE number 1439999