Surjective isometries of \(L^ 1 \cap L^ \infty [0, \infty )\) and \(L^ 1 + L^ \infty [0, \infty )\)
type: Item
instance of: scholarly article
title: Surjective isometries of \(L^ 1 \cap L^ \infty [0, \infty )\) and \(L^ 1 + L^ \infty [0, \infty )\)
zbMATH Open document ID: 0758.46031
DOI: 10.1016/0019-3577(92)90005-6
author: Helmut H. Schaefer
author: Ryszard Grząślewicz
published in: Indagationes Mathematicae. New Series
publication date: 1992-12-15T00:00:00Z
review text: The authors show that the (normalized) weighted composition operators are precisely the surjective isometries on \(L^ 1\cap L^ \infty\) and \(L^ 1+L^ \infty\) (over \([0,\infty)\)).
reviewed by: Jürgen Appell
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 78087
zbMATH Keywords: weighted composition operators
zbMATH Keywords: surjective isometries
MaRDI profile type: Publication
full work available at URL: 0019-3577(92)90005-6
OpenAlex ID: W2014485074
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description: scientific article; zbMATH DE number 78087