On the ascent of composition operators
type: Item
instance of: scholarly article
title: On the ascent of composition operators
zbMATH Open document ID: 0798.47025
author: T. Veluchamy
author: S. Panayappan
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1993-06-29T00:00:00Z
review text: A misstatement in a paper by \textit{R. K. Singh} and \textit{R. David Chandrakumar} [Indian J. Pure Appl. Math. 14, 1233-1237 (1983; Zbl 0543.47022)] is pointed out and corrected. Furthermore, two theorems about composition operators on \(L^ 2(X,\mu)\) are stated and proved. The only curiosity about the theorems is that they remain true for general bounded linear operators on a Hilbert space. The proofs are elementary, and the theorems are illustrated with examples.
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 221017
zbMATH Keywords: composition operators on \(L^ 2(X,\mu)\)
reviewed by: Stefan Richter
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 221017