The spectrum of a Volterra composition operator
type: Item
instance of: scholarly article
title: The spectrum of a Volterra composition operator
zbMATH Open document ID: 0622.47029
DOI: 10.1007/BF01199798
published in: Integral Equations and Operator Theory
publication date: 1987-01-01T00:00:00Z
review text: Lyubic conjectured that the Volterra composition operator \(Vf(t)=\int^{\phi (x)}_{0}f(t)dt\), \(\phi\) continuous, is quasinilpotent as an operator on C[0,1] iff \(\phi\) (x)\(\leq x\) for x in [0,1]. This conjecture is established and extended to V as an operator on \(L^ p[0,1]\).
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 47B06
zbMATH DE Number: 4009147
zbMATH Keywords: Volterra composition operator
zbMATH Keywords: quasinilpotent
author: R. Whitley
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf01199798
OpenAlex ID: W1967471109
description: scientific article; zbMATH DE number 4009147