Certain invariant subspaces for operators with rich eigenvalues
type: Item
instance of: scholarly article
title: Certain invariant subspaces for operators with rich eigenvalues
zbMATH Open document ID: 0732.47008
DOI: 10.1155/S0161171291000066
author: K. Seddighi
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46617
review text: The material in this paper was presented at ICM '86, Berkeley. For an operator \(T\in B(H)\), H a Hilbert space, \(f\in H\), let [f] be the invariant subspace under T generated by f. The author first characterized [f] in H and in terms of a sequence of distinct points in a connected open region \(\Omega\). Here the spectrum of a restriction on T was studied, hence obtaining information on infinite dimensional cyclic invariant subspaces under \(T^*\). For some reason there are a number of misprints, such as the sign \(\epsilon\) missing in several places.
Mathematics Subject Classification ID: 47A15
Mathematics Subject Classification ID: 47L30
Mathematics Subject Classification ID: 47B37
Mathematics Subject Classification ID: 47A25
zbMATH DE Number: 4210863
zbMATH Keywords: generalized Bergman kernel
zbMATH Keywords: zero sequence
zbMATH Keywords: spectrum
zbMATH Keywords: infinite dimensional cyclic invariant subspaces
reviewed by: Shao-Chien Chang
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4210863