A characterization of closed range operators
type: Item
instance of: scholarly article
title: A characterization of closed range operators
zbMATH Open document ID: 0961.47001
author: S. H. Kulkarni
author: M. Thamban Nair
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2001-05-21T00:00:00Z
review text: The paper under review contains three proofs for the fact that, if \(T\) is a bounded linear operator between some complex Hilbert spaces, then it has closed range if and only if \(0\) is not an accumulation point for the spectrum of \(T^*T\). The proofs are ``applications of different concepts in basic operator theory'' (in authors' words).
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A50
zbMATH DE Number: 1484567
zbMATH Keywords: closed range operators
zbMATH Keywords: accumulation point
zbMATH Keywords: generalized inverse
zbMATH Keywords: ill-posed problem
zbMATH Keywords: spectral theorem
zbMATH Keywords: spectral projection
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: spectrum
reviewed by: Daniel Beltiţă
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1484567